Assassin's Creed (2007) Not Playable on PS2

No. Assassin's Creed (the first game, 2007) released on PlayStation 3, Xbox 360, and PC. The PS2 was discontinued in 2013, but by 2007 it was already a last-gen platform; Ubisoft built the game for the new hardware (Anvil engine, HD assets, crowd AI).

No PS2 port exists. The closest PS2-era "assassin" game is Prince of Persia: The Two Thrones (same engine lineage, similar parkour/combat).