Board Thread:Support Requests - Getting Technical/@comment-3279487-20130817110654/@comment-1091639-20130817115013

I don't think so. The URL would look like:

http://images.wikia.com/common/avatars/0/04/3279487.png

You can retrieve the "3279487" part, which is your user ID, via api, but I think the "/0/04/" part is more or less random.