No split-screen / simultaneous 2-player. The PS2 version (downgraded port) only supports:
Xbox 360 / PS3 versions have 2-player Split Screen (Free Skate, Graffiti, Trick Attack, HORSE).
If local versus is essential, play THPS3, THPS4, THUG2, American Wasteland on PS2 — they have split-screen. Project 8 and Proving Ground PS2 removed it due to engine constraints.