Does Antarctica have a lot of aquifers?
Yes. So far as aquifers are concerned, Antarctica is just like any other continent. The Ice is 4 kilometres thick in places, but at the bottom there is water. If there is any place where water is not found at the base of the ice sheet, there will be an aquifer within a few miles. There are about 400 sub-glacial lakes in Antarctica, the most well known being Lake Vostok in Russian Antarctic Territory. 

Lake Vostok is very large and deep, covered by 4 Km of ice, and Russian scientists have recently drilled down to it in the hope of finding living organisms. Although it is completely dark down there they were not disappointed, and many micro-organisms were found, but no vertebrates. There is a large, dry valley deep in Antarctica where precipitation is negligible and bare ground is everywhere, but how this affects underground water resources I don't think anyone could say.