I am trying it right now. I purchased a students license a while ago and I have been using it on my laptop so far. As I type this I am installing it on my desktop. Don't know if its going to work yet as I found no answers to the question on the web, but I was able to download the latest installer from the matlab page. It asked me for my Matlab account, checked my license and now its installing. So seems to me like it is possible. I will give you an update in a few.
UPDATE: Installation complete and working on both machines :) Nice.