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Yes.

This is how it is phrased in the Catechism:

http://www.scborromeo.org/ccc/para/846.htm

"Outside the Church there is no salvation"

846 How are we to understand this affirmation, often repeated by the Church Fathers? Re-formulated positively, it means that all salvation comes from Christ the Head through the Church which is his Body:
Basing itself on Scripture and Tradition, the Council teaches that the Church, a pilgrim now on earth, is necessary for salvation: the one Christ is the mediator and the way of salvation; he is present to us in his body which is the Church. He himself explicitly asserted the necessity of faith and Baptism, and thereby affirmed at the same time the necessity of the Church which men enter through Baptism as through a door.
Hence they could not be saved who, knowing that the Catholic Church was founded as necessary by God through Christ, would refuse either to enter it or to remain in it.

As I teach my RCIA students, if you love Christ you want to do His will. He established His Church as the ordinary means of salvation for the whole human race.

If you didn't know that, then you would not be personally guilty of disobedience to Christ by not entering His Church. And He has ways to save we don't even know about.

"As high as the heavens are above the earth, so far are his ways above our ways, and His thoughts above our thoughts."

"It is impossible for men, but for God all things are possible."

But if you know it is Christ's will, then --- it's like Noah's Ark! You really need to get your pea-pickin' self into the Catholic Church!

Hence they could not be saved who, knowing that the Catholic Church was founded as necessary by God through Christ, would refuse either to enter it or to remain in it.

It's strange that Christ never mentioned it when He was asked DIRECTLY what GOD required.

John 6:25-40

²⁵When they found him on the other side of the lake, they asked him, “Rabbi, when did you get here?”

²⁶Jesus answered, “Very truly I tell you, you are looking for me, not because you saw the signs I performed but because you ate the loaves and had your fill. ²⁷Do not work for food that spoils, but for food that endures to eternal life, which the Son of Man will give you. For on him God the Father has placed his seal of approval.”

²⁸Then they asked him, “What must we do to do the works God requires?”

²⁹Jesus answered, “The work of God is this: to believe in the one he has sent.”

³⁰So they asked him, “What sign then will you give that we may see it and believe you? What will you do? ³¹Our ancestors ate the manna in the wilderness; as it is written: ‘He gave them bread from heaven to eat.’^[c]”

³²Jesus said to them, “Very truly I tell you, it is not Moses who has given you the bread from heaven, but it is my Father who gives you the true bread from heaven. ³³For the bread of God is the bread that comes down from heaven and gives life to the world.”

³⁴“Sir,” they said, “always give us this bread.”

³⁵Then Jesus declared, “I am the bread of life. Whoever comes to me will never go hungry, and whoever believes in me will never be thirsty. ³⁶But as I told you, you have seen me and still you do not believe. ³⁷All those the Father gives me will come to me, and whoever comes to me I will never drive away. ³⁸For I have come down from heaven not to do my will but to do the will of him who sent me. ³⁹And this is the will of him who sent me, that I shall lose none of all those he has given me, but raise them up at the last day. ⁴⁰For my Father’s will is that everyone who looks to the Son and believes in him shall have eternal life, and I will raise them up at the last day.”

It's also strange that the Early Church Fathers never mentioned it; either.

Acts 15

The Council at Jerusalem
¹ Certain people came down from Judea to Antioch and were teaching the believers: "Unless you are circumcised, according to the custom taught by Moses, you cannot be saved." ² This brought Paul and Barnabas into sharp dispute and debate with them. So Paul and Barnabas were appointed, along with some other believers, to go up to Jerusalem to see the apostles and elders about this question. ³ The church sent them on their way, and as they traveled through Phoenicia and Samaria, they told how the Gentiles had been converted. This news made all the believers very glad. ⁴ When they came to Jerusalem, they were welcomed by the church and the apostles and elders, to whom they reported everything God had done through them.
⁵ Then some of the believers who belonged to the party of the Pharisees stood up and said, "The Gentiles must be circumcised and required to keep the law of Moses."
⁶ The apostles and elders met to consider this question. ⁷ After much discussion, Peter got up and addressed them: "Brothers, you know that some time ago God made a choice among you that the Gentiles might hear from my lips the message of the gospel and believe. ⁸ God, who knows the heart, showed that he accepted them by giving the Holy Spirit to them, just as he did to us. ⁹ He did not discriminate between us and them, for he purified their hearts by faith. ¹⁰ Now then, why do you try to test God by putting on the necks of Gentiles a yoke that neither we nor our ancestors have been able to bear? ¹¹ No! We believe it is through the grace of our Lord Jesus that we are saved, just as they are."
¹² The whole assembly became silent as they listened to Barnabas and Paul telling about the signs and wonders God had done among the Gentiles through them. ¹³ When they finished, James spoke up. "Brothers," he said, "listen to me. ¹⁴ Simon has described to us how God first intervened to choose a people for his name from the Gentiles. ¹⁵ The words of the prophets are in agreement with this, as it is written:
¹⁶ "'After this I will return
   and rebuild David's fallen tent.
Its ruins I will rebuild,
   and I will restore it,
¹⁷ that the rest of mankind may seek the Lord,
   even all the Gentiles who bear my name,
says the Lord, who does these things'
¹⁸ things known from long ago.
¹⁹ "It is my judgment, therefore, that we should not make it difficult for the Gentiles who are turning to God. ²⁰ Instead we should write to them, telling them to abstain from food polluted by idols, from sexual immorality, from the meat of strangled animals and from blood. ²¹ For the law of Moses has been preached in every city from the earliest times and is read in the synagogues on every Sabbath."
The Council's Letter to Gentile Believers
²² Then the apostles and elders, with the whole church, decided to choose some of their own men and send them to Antioch with Paul and Barnabas. They chose Judas (called Barsabbas) and Silas, men who were leaders among the believers. ²³ With them they sent the following letter:

   The apostles and elders, your brothers,
   To the Gentile believers in Antioch, Syria and Cilicia:
   Greetings.
²⁴ We have heard that some went out from us without our authorization and disturbed you, troubling your minds by what they said. ²⁵ So we all agreed to choose some men and send them to you with our dear friends Barnabas and Paul— ²⁶ men who have risked their lives for the name of our Lord Jesus Christ. ²⁷ Therefore we are sending Judas and Silas to confirm by word of mouth what we are writing. ²⁸ It seemed good to the Holy Spirit and to us not to burden you with anything beyond the following requirements: ²⁹ You are to abstain from food sacrificed to idols, from blood, from the meat of strangled animals and from sexual immorality. You will do well to avoid these things.
   Farewell.

³⁰ So the men were sent off and went down to Antioch, where they gathered the church together and delivered the letter. ³¹ The people read it and were glad for its encouraging message. ³² Judas and Silas, who themselves were prophets, said much to encourage and strengthen the believers. ³³ After spending some time there, they were sent off by the believers with the blessing of peace to return to those who had sent them. ^[34] ³⁵ But Paul and Barnabas remained in Antioch, where they and many others taught and preached the word of the Lord.
Disagreement Between Paul and Barnabas
³⁶ Some time later Paul said to Barnabas, "Let us go back and visit the believers in all the towns where we preached the word of the Lord and see how they are doing." ³⁷ Barnabas wanted to take John, also called Mark, with them, ³⁸ but Paul did not think it wise to take him, because he had deserted them in Pamphylia and had not continued with them in the work. ³⁹ They had such a sharp disagreement that they parted company. Barnabas took Mark and sailed for Cyprus, ⁴⁰ but Paul chose Silas and left, commended by the believers to the grace of the Lord. ⁴¹ He went through Syria and Cilicia, strengthening the churches.