Short answer: Not from the original PS2 disc on most PS3 models. Only the launch "fat" models (CECHA, CECHB, CECHE, CECHC — 60GB, 20GB, 80GB with hardware/software backward compatibility) can play PS2 discs natively. Every other PS3 (Slim, Super Slim, later fat models) cannot.
Verdict: If you own a launch fat PS3, your disc works. Otherwise, buy the remaster on PS4/PS5 or the PC collection. They're superior in every way.