Yes, he felt remorse but it seems he never asked for God’s forgiveness.
The question whether God could and would have forgiven a repentant Judas seems obvious to me: of course He could and would have. Judas did not commit "the unpardonable sin". However, the Gospels, Acts and other passages leave the strong impression that, as Alba notes, Judas did not seek forgiveness.
Still, I am fully prepared to be surprised by those I encounter in heaven, just as there may be some who are dumbfounded to find me there. If one suggested on this forum that Hillary Clinton, for example, will be in heaven, howls of outraged derision would ensue; but she names the name of Jesus and claims salvation. Only God knows, and His grace is bounteous beyond measure.