Yes and no, depending on the technical use of the word "saved". In normal conversation, you and I would talk about being "saved" in the sense of coming to belief, having the Spirit indwell, and all the rest of it. All of this is clearly laid out in the Bible. However, it is also clearly laid out in the Bible that God predestined the elect from before they were born. From the beginning of time it was set in stone that Fred Smith, born in Peoria, IL on July 17, 1971 would one day enter the Kingdom of heaven to be forever with his Lord. That is also a way to describe the word "saved" and I believe it is equally valid. However, by this there is no "instruction". There is nothing we can do now to change what has already been done.
The important difference is that the distinction I draw ONLY has meaning if one believes that God elects SOLELY based on His sovereign will, wholly apart from any consideration of future events. If God does "peek", and bases His election decisions on the happenstance of the free will of men, then the concept of predestination is pointless.
However... you seem to place your theoretical soteriology in a higher position than the words of God himself.
You can't answer "yes and no" It was a simple yes OR no question.
The answer is an unqualified "yes".