Yeah, it should, probably on mid settings though. Laptops do that. If you had the same specs on a Desktop, you would be able to run games on high or ultra. Depending on the game. Your i5 would give you about 3.8GHz to 4.0GHz on a Desktop too.System stats:
Intel Core i5, 2.50GHz, 8,00GB Ram, 64 bit system, Windows 8, Radeon HD 7650M