I'm not aware of any scripture that says that sin can be paid for at all by anybody.But, I'm not aware of anywhere that says that he can't pay for his own sin.
To me this legalistic type of thinking is entirely absent. There is plenty in the Old Testament where wrongdoers are put to death. But that fact doesn't imply that they "paid" for their wrongdoing. People say that Jesus "paid" for the sins of the world, but where do you find that? We do read that He is the means of mercy, not only for our sins, but for the sins of the whole world (1 John 2:2 ).
I read in the New Testament that Jesus died to deliver us from sinning, and I have quoted the passages which affirm this many times in this forum . Until we are delivered, we have a "sin-sick soul". Jesus is the great healer!
God wants people who are actually righteous. He isn't interested in having people who are merely positionally righteous.
Many of those who think Jesus "paid" for their sins, past, present, and future, assume that they can go on sinning the rest of their lives and still be accepted by God and escape judgment — a position arrived at by interpreting particular passages in Romans a certain way, while ignoring Romans 2 which tells us that we will all be judged by our WORKS, as well as other scriptures that clearly tell us the real purpose of the magnificent sacrifice of Christ—that of delivering us from sin itself. Christ appeared on this earth to do away with sin by the sacrifice of Himself. (Hebrews 9:26)