Yes, and No (It depends on the version of Gaea your running). From my experience older versions of Gaea won't start up through Remote Desktop even after it is licensed. It must be started on the PC it was installed on, then you lock the PC and can Remote Desktop into it and continue using Gaea because it was already opened and running. You must Remote Desktop into that PC with the same credentials you used to get Gaea running too.
Luckily I just tried it in the latest Gaea Production Ready Build (1.2.1.3), and it appears to open in Remote Desktop after you install it and license it, so I think your in luck if you are using Build 1.2.1.3.