Yes quite easily in 720p, and if you think about OCing the gpu, it can probably play most games in 1080p as well. The Asus version of the card already comes with a high factory OC, with a further OC, the gpu will be able to play at 720p and maybe even 1080p with ease. The Asus DirectCU II cooler is great, and it is pretty quiet, but sometimes the fans won't go to the max potential because it is programmed to be more quiet than performing, but it is still great none the less as I bet you wouldn't push it to the absolute max, so I bet your fine with the Asus r9 270X.
Here is a link for how to Overclock:
http://www.pcworld.com/article/250644/how_to_overclock_your_graphics_card.html