I used to have a really big wart on my big toe, and was creeping down onto my foot. Nothing I could do would get rid of it. I'd have regular cryotherapy, tried the duct tape, lots of other stuff (including me attacking it with a knife once -- was not a good idea). One day I had a very traumatic bicycle accident that involved my ankle getting sprained and the skin being cut down to the bone in multiple places (not near the wart).
Whole foot and ankle was wrapped up in bandages for a couple months, when the bandages came off my wart was gone and never came back.
Would not recommend, but it seemed to work (or it was a coincidence)