What? The warts that affect your hands don't affect the genital area... are you really a doctor?
Hi,
Yes, these may be warts and they could have been spread from your palm. Autoinoculation may happen especially when you frequently touch certain parts of the body. Warts are caused by the papilloma virus and they may be transmitted through direct skin to skin contact. The common warts present in your hands may have an increased chance of spread since the hands may usually hold or touch the area.
For the meantime, be careful not to frequently touch other parts of the body. Have the warts treated since this is the best way to prevent transmission. Also have a consult with your physician for a complete examination. You may need a dermatology referral for the warts in the genital area.