Yes it could, same way it would preform an emergency [landing][1] any where else. There are [ice runways][2] out there and its not all that uncommon to see [small GA planes][3] landing on [frozen lakes][4] in the winter. There are considerations when it comes to breaking and what not but in the end of the day you have the ability to always land into the wind (since you are picking your touch down heading provided there are limited obstacles). Landing into the wind is also key as a result of some of the potentially high winds in the arctic and antarctic shelves. The largest issue is not knowing how thick the ice is. While I don't know an enormous amount about north or south pole geology the [ice thickness][5] varies and in some places could not support an aircraft landing. For the most part the south pole ice is very thick [(9000ft) by all estimates][6], but the outer edges and the ice that does not reside above the landmass could be thinner. Keep in mind that parts of the arctic/antarctic are dark for most of the year so you may be looking at nigh procedures when landing. 

Interestingly enough, [Antarctica][7] actually has [20 airports][8] so you may even be able to put down on a strip depending on where you are. 


  [1]: http://www.city-data.com/forum/aviation/2023847-what-happens-if-jetliner-lands-sheet.html
  [2]: https://en.wikipedia.org/wiki/Ice_Runway
  [3]: https://www.youtube.com/watch?v=b1LWE4-CDXk
  [4]: http://www.wired.com/2015/03/landing-ice-runway-less-crazy-sounds/
  [5]: https://en.wikipedia.org/wiki/Arctic_ice_pack
  [6]: https://en.wikipedia.org/wiki/South_Pole
  [7]: https://en.wikipedia.org/wiki/Transport_in_Antarctica
  [8]: https://en.wikipedia.org/wiki/List_of_airports_in_Antarctica