Warts on your hands will not transmit to your genitals, as it is a completely different strain.
If the bump was a wart, then you would of got it through sex/sexual contact rather than from your hand, and it would be a genital wart strain, rather than a common wart strain.
Then it wont be a genital wart, warts take longer to go away, usually a good few months. My guess is the bump was harmless - an ingrown hair or pimple for example