No, they can't. Otherwise we would all be covered with warts. If you think you have genital warts, you shouldn't be in the 'wait and observe stage,' because there isn't one. I wonder whether you have warts in either place, genitals or hands, but I think you owe to to yourself to get yourself examined so you'll know for sure, and get treatment if you need it. But you can't spread warts from the genitals elsewhere, or vice versa.
Take care.
Dr. Rockoff