Unfortunately, this cannot be true, unless Christ is a liar. Look at the Church in context of Scripture.
“Ye are the light of the world. A city that is set on an hill cannot be hid. Neither do men light a candle, and put it under a bushel, but on a candlestick; and it giveth light unto all that are in the house. Let your light so shine before men, that they may see your good works, and glorify your Father which is in heaven.” Mat 5:14-15
So here Christ says His Church will be visible.
“Careful to keep the unity of the Spirit in the bond of peace. One body and one Spirit: as you are called in one hope of your calling. One Lord, one faith, one baptism.” Eph 4:3-5
The Church is to be one, not many.
“And I say also unto thee, That thou art Peter, and upon this rock I will build my church; and the gates of hell shall not prevail against it.” Mat 6:18
Here Christ says his Church will not be destroyed.
“I have yet many things to say unto you, but ye cannot bear them now. Howbeit when he, the Spirit of truth, is come, he will guide you into all truth: for he shall not speak of himself; but whatsoever he shall hear, that shall he speak: and he will shew you things to come.” John 16:12-13
“But if I tarry long, that thou mayest know how thou oughtest to behave thyself in the house of God, which is the church of the living God, the pillar and foundation of the truth.” 1Tim 3:15
Here Christ says, and Paul reaffirms, that the Church will always teach the TRUTH.
But also look at the words - behave thyself in the house of God – this Church is clearly a physical thing in which we need to behave. Physical, Earthly.
Then Jesus came to them and said, "All authority in heaven and on earth has been given to me. Therefore go and make disciples of all nations, baptizing them in the name of the Father and of the Son and of the Holy Spirit, and teaching them to obey everything I have commanded you. And surely I am with you always, to the very end of the age." Mat 28:18-20
Again, here Jesus assures us that He is always with us, to the very end.
So Christ says His Church will not be destroyed or fall away from him, that the Holy Spirit will guide the Church to always teach the Truth, and He will always be with us. The ONE physical Church Christ Himself established is much more than a collection of nice people who read a Bible and believe anything they want.
The word used there is ekklēsia and means an assembly.
Definition
a gathering of citizens called out from their homes into some public place, an assembly
an assembly of the people convened at the public place of the council for the purpose of deliberating
the assembly of the Israelites
any gathering or throng of men assembled by chance, tumultuously in a Christian sense
an assembly of Christians gathered for worship in a religious meeting
a company of Christian, or of those who, hoping for eternal salvation through Jesus Christ, observe their own religious rites, hold their own religious meetings, and manage their own affairs, according to regulations prescribed for the body for order's sake those who anywhere, in a city, village, constitute such a company and are united into one body
the whole body of Christians scattered throughout the earth
the assembly of faithful Christians already dead and received into heaven
http://www.biblestudytools.com/lexicons/greek/kjv/ekklesia.html
He was talking about any assembly of Christians. Not an organization or hierarchy which was later developed by carnal man. The one church carnal men try to make the RCC is really the entire body of true believers in Christ alone. One body of which Christ is the head.