Sure, why not? They both (or more) run in their own virtual machine, and since Sun's java is platform independent, should be applicable to any environment either LW or FW is run in.

We learn by taking risks and not depending upon others to put forth the effort of thinking. In this case, what's the worst that could happen? that either it wouldn't work, or you'd have to reboot your machine. Pittance, considering the potential outcome, and now we know that it works (yay!).