Repair?  No.  Just because you have an elevator shot off doesn't mean that it was just the elevator that was damaged.  The linkage could be damaged, frame, etc, etc.
Re-arm and re-fuel?  Sure.  There is more than one battle in WWII where fighters landed, rolled up to a fuel or ammo truck, was re-supplied, and back in the air it went.  With that said I don't believe it was a quick 30 seconds either.  I'm all for extending the re-arm and re-fuel time to 1 minute, or even more.