Actually the card is integrated into the APU, and therefore has active cooling, but it's still weak. It could possibly handle low settings at 1366x768. If the RAM speed was better than 1600mhz I'd say certainly, but all budget laptops come with 1600.
If you're looking for a cheap laptop that can play games, look for an A8 or A10 APU in the 7xxx series. One that says it has R6 graphics. Doesn't matter how much RAM it has, because you'll need to get rid of it and buy 2x4GB of 2133Mhz memory. Then you'll be good to go for playing games.