If you use Dropbox I don't imagine it would be an issue. Correct me if I'm wrong, but I'm quite sure you generally have to access the ROM from your SD card, which you could do with Dropbox since it provides you with the folder that acts as the mediator between you and the cloud.
But that is just my theory. I haven't tested that. Don't hold me to it.
EDIT: I didn't see that you had said Google Cloud (Drive?). Sorry. I don't quite know how they work.