Yes, have swam in a bandage before. It was all one piece, so I dunno if yours is a wrap or not. Seemed to be fine. That said, I've never immediately biked/ run with it on.

A word of caution though: Even though its a 2 mile run, do you want to risk the run? Do you have other races this year that you want to do? I would think pretty hard about doing this one, just really consider if a super sprint is worth doing if you have a half IM coming up in a month--- I would say the risk is too great of making the ankle worse, but thats just me speaking from having had 2 similar/ worse ankle injuries... Only you can judge though...