No. Counter-Strike: Source was released **exclusively for Windows (PC)** via Steam in 2004. It was never ported to any console.
The PlayStation 2 received Counter-Strike (2003), a port of the original Counter-Strike 1.6 (GoldSrc engine). It features degraded graphics, no bots in single-player (just a "tour" mode), split-screen offline multiplayer, and no Steam/Valve Anti-Cheat. It is a completely different game from Source.