Mine does (Sidney Sussex) and I think it's quite common
Edit: I've only just realised that you specified in your room. It's not very common for them to allow this without paying rent over the holidays. I think most colleges allow at least a few rooms to be rented out over the holidays (though some place more restrictions over which such rooms can be chosen). Many colleges do, however, have somewhere in the college where internationals can store their things over the holidays without incurring a fee. Fun fact Sidney uses the squash courts.