Will the Harry Potter Lego video game be on ps2?

There is no Harry Potter Lego video game that was released for the PlayStation 2.

The first Harry Potter Lego game, "Lego Harry Potter: Years 1-4", was released in 2010 for platforms like the PlayStation 3, Xbox 360, Wii, and PC. The PlayStation 2 was already considered a "last generation" console at that time, and developers generally didn't create new games for it anymore.