Most of our yard is paved; Can we still keep chickens?

We live in an urban downtown area on 1/10th of an acre; obviously, our house takes up most of that, and our fenced in yard is paved over for a car pad. The area is about 30 ft x 30 ft; I would love to have a small chicken coop (we also plan to build raised vegetable gardens on the car pad), but I am not sure if the chickens will be okay on concrete. There is a small grass area on the other side of the house, within the fencing, and we have a grassy front lawn (unfenced) about the same size as the car pad area.