An SSD won't impact gaming performance (other than load times etc).
The HD 520 graphics will be your sticking point. Most games *will* run with them, but you'll have to scale back your graphics settings to 'low' on a lot of titles in order to achieve playable FPS.
Shouldn't be too many games you can't 'play', but whether they would be an enjoyable experience is subjective, and will vary between titles.