John 17:12
"While I was with them, I was keeping them in Your name which You have given Me; and I guarded them and not one of them perished but the son of perdition, so that the Scripture would be fulfilled."
I don't believe so. Judas couldn't accept the grace given freely by God.
While God predestines some people, he simply passes over the others. They will not come to God, but it is because of their inherent sin, not because God damns them.