Is there a minecraft game for the playstation 2?

No, obviously not. A PS2 wouldn't have the power to even remotely run minecraft.

Minecraft is not available on PS2. However, it's available on many other platforms such as Windows, OS X, Linux, Android, iOS, Xbox 360, Xbox One, Raspberry Pi, PS3, PS4, PS Vita & Wii U

They didn't even release minecraft for pc until the ps3 was dead, and the ps2 is nowhere near powerful enough to run a game like that so no, that would be like finding an uncharted game for the ps1