No. Grand Theft Auto IV launched in 2008 for PlayStation 3, Xbox 360, and Windows only. The PlayStation 2 (released 2000) lacked the hardware to run the RAGE engine, Euphoria physics, and high-definition assets.
Grand Theft Auto: San Andreas (2004) was the final mainline GTA on PlayStation 2. Vice City Stories and Liberty City Stories (PSP ports) also came to PS2.