I didn't watch the video because I'd rather not install random video software, but if it's the one I'm thinking of: 3 foot long balloon deepthroated by a girl, then I don't see why it's impossible. Wouldn't it be the same idea as sword swallowers?
http://www.swordswallow.com/xrays.php
And having seen the girl from ideepthroat.com, some people can keep it in there for quite a long time.