The good news for award hunters is that transferring your GTA 5 Story Mode progress will unlock any Trophies or Achievements that you would have earned by reaching that point, and the same applies once you follow the other process for how to transfer GTA Online to migrate your character over - if you're wondering, ' Can you play GTA Online on PS5 with PS4 players?' after you've migrated your character, we've got answers for that too.
