I don't know much about Clownfish fry, but I would like to share what I seem to remember. Do, however, tank my words with a grain of salt, as I haven't read about this in a while.
Off the top of my head, I seem to think that it takes a little longer than a week for fry to hatch (approximately), and yes, you can move them to a separate tank. In fact you need to move the eggs over on the piece of live rock, otherwise they will become a snack for your fish. Just make sure all of your parameters are the same in your separate tank as your main tank.
Lastly, don't move the parents over with the babies, I believe that the parents will eat their young.