As a matter of fact they do. I recently found out that I have warts "down there". I started out having 2-3 pimple-like bumps that I thought was from shaving or possible herpes:p. Thankfully I got support from a very good friend and even my mother has reassured me everything will be okay no matter what.
Anyways, I went to Planned Parenthood a month or so after discovering the bumps (and at that point I had many more and they were flesh/brown color) and she confirmed they were warts.
But no fear, they do not last forever (as what I'm told). If your immune system is in good shape you should be rid of the warts sometime. It can take weeks, months, or years depending on your circumstance. I'm trying putting apple cider vinegar on mine to speed up healing and can let you know how that works if you'd like.
But I dunno if you have a wart or not so I do not want to scare you unless you know for sure what it is you are looking at. It could be just a pimple or ingrown hair or whatever. I would keep an eye on it for a week or so and if you're really that concerned go see your gyno or dermatologist. They can distinguish what the bump is and put your mind at ease.
A friend once told me, "No matter what issues you deal with, there will always be a solution." Just keep calm. You know your body better than anyone. Just go with your gut.