One thing I read is that you can use the button location trick to make it not appear, but that trick supposedly makes the game crash on mac computers. You basically set the coordinates to -11, -11 (don't know if that is the exact coordinates, though, just from memory). I think you have to modify some file though and I don't know if you can open it normally.
I don't think you can change it with triggers.
I don't think you can make it only happen for one player - it would affect all players.