You can. You would have to import all your food, fuel and clothing.
I can't afford it and don't particularly want to, personally. Many people can, want to and do live in Antarctica, though; it simply requires some sturdier buildings and a better supply chain than for most other areas of the world.
Another Answer
You can only live in Antarctica if you are hired by your government to perform scientific experiments or support science. Otherwise, there are no places to live in Antarctica. It's 30 degrees colder in Antarctica than it is in the Arctic: there is no life there -- it's too cold.
Most governments restrict the length of time that a worker can remain 'on the ice' at any one time, without a break 'off the ice'. Sometimes this is 12 months, with a forced six week's 'off the ice' before being allowed to return.
There are people who live there. They work there in pursuit of science funded by governments that signed the Antarctic Treaty. This is a transient population: it is not native nor permanent.
An Opinion:
While that technically answers this question there is more to the story. The heart of the question is, why isn't there a major population center there. Why don't people, in search of land and escaping the state move there. One obvious thing to consider, is that it is simply not a nice place to live because of the cold. While the cold certainly discourages people from moving there, history shows us that people seeking freedom will endure extreme circumstances if they can get a taste of it. The Antarctic Treaty limits the ability for people to go to Antarctica unencumbered by the state and it's restrictions on freedom so it's not worth enduring the weather for people to move there. If enough people move there, it might be possible to establish it as a sovereign land separate from the other states of the world and that might draw people. There are other less climatically challenged ways to escape the state however, such as living on a vessel. Some groups are considering doing this to form cities at sea and this would compete with Antarctica in the event it became a free place to live.
Antarctica has no native or permanent population. Anyone living in Antarctica is doing so on a temporary basis, because they have been hired by a government to complete scientific research there, or work in support of science.
Anyone who doesn't 'like' to live in Antarctica doesn't have to live there.
some people think that people live in Antarctica. But there wrong. Scientist have reasarchedand they have found out that nobody on earth could live there.
Nobody is able to live in Antarctica because it is an ice cap. Its too cold for anybody to live there for a long period of time. You wouldn't survive. So they don't have their own government because nobody lives there.
You're thinking of Antarctica. No animals live on Antarctica: it's too cold and there is no food chain there. Penguins are among the sea birds and sea mammals, however, who breed on Antarctica's beaches.
There are no cities in Antarctica because nobody lives there
Antarctica is not a nation or country . . . nobody lives there, permanently. Antarctica is just a continent.
Antarctica has no president or sovereignty. Various countries have claimed territories in Antarctica but Antarctica belongs to the whole world, based on The Antarctic Treaty. Nobody lives there on a permanent basis, and scientists and support staff live there on a temporary basis being funded by their governments.
nobody lives in Antarctica, except for a few scientists studying there.
No, nobody lives at the Antarctica permanently, although scientists go there for research.
Live from Antarctica was created in 1990.
There are no animals that live in Antarctica.
in Antarctica
Goats don't live in Antarctica. Antarctica is in the Antarctic, Arctic goats (obviously) live in the Arctica, which is north.