In reply to kipper12:
In Morocco at the moment, was sat on a sunny belay thinking my feet were hurting more as my feet were swollen from the heat..... then remembered this thread and checked my shoes and realised they were burning hot (BD Aspect Pros). Put them in some shade and after a little while they cooled off and got more comfortable.
So yes, shoes can definitely get hot..... didn't burn though, just uncomfortably toasty.