Yes. Battlefield: Bad Company 2 was released for Xbox 360 on March 2, 2010 (North America) / March 5, 2010 (Europe).
It is widely considered one of the best entries in the franchise, praised for its destructive environments (Frostbite 1.5 engine), strong single‑player campaign, and exceptional multiplayer maps (like Valparaiso and Arica Harbor). The Xbox 360 version supports Xbox Live multiplayer (servers remain active via community support/backwards compatibility on Xbox One/Series X|S).