Not, of course, the specific person, his name and history; but yes.
Since we can have a relationship with the Holy Ghost, and have the possibility of direct knowledge from the Holy Ghost; we can know Jesus without being told.
We can know from death and its implications, that we need a saviour - who could offer us eternal life.
We can know from life and its problems and limitations, that we need to become divine; that we need theosis: we need to become Sons of God.
Thus we can know what we need and that we cannot get it for ourselves; and we could learn - directly from a relationship with the Holy Ghost - that we have, in fact, been granted what we need - if we choose to accept it.
So, even if there was no Bible, or we had no access to Scripture, or if it had been corrupted; or if Christian churches were absent or corrupted - we could come to know and love Jesus Christ.