During last summer I was stuck in another city with little cash and no cloths (it is really a long story). Any case I was there for three days and I had to do a lot of stuff, meaning I had no time to let my cloths dry.
So I promise you that you can, but be careful it ruins the cloths.
I use to put them in the microwave with lost of paper around them so the steam that will rise out of the while they heat up would be absorbed by the paper.
It is not the best way to dry your cloths but it works!
Also you should know that there are some patents on the subject (driers with microwave drying abilities) and I remember seeing a home version as well.