Is it possible to build a city in Antarctica?
Is it possible? YES Would it be extremely expensive? YES Would it need to be self sufficient for months at a time ? Also YES. Main reason the permanent settlements are a few dozen people.
Yes, get to work now before it snows.
Not really. Winds over 200 miles per hour and below 0 temperatures. No access except for a certain time of year. Who would want to go there?
No. Construction, land use, people's time in the region are all strictly controlled by an international agency.