Sometime they can. I had a friend who had a leak in the drainage system of his AC in his condo. The result was a puddle where the mosquitos were breeding. I also have heard of these things breeding in the exra drain hole in the sinks or tubs. (the ones that are there to keep the thing from overflowing if you have a stopper in it)
In my buddies case it also caused some mold issues too, so call your apt management or take a look around with a flash light. He had noticed they tended to be near his kitchen to most. That was when he though of looking in the ceiling and the only place that he had easy access was the port for the AC. When he opened it up, he just found standing water and his mosquitos.