Yes, you can pretty much get pimples anywhere on your body, I am assuming you are talking about your outer labia. It might be a pimple, or an ingrown hair, but if you are sexually active get it checked out, just to be sure! Check with your local family planning clinic or health department they can do it either for free or super cheap.
Yes you can get zits there, inner and outer. I get those all the time and have spent a lot of time looking up how to make them go away; which seems to be just holding a hot compress on it (like a washcloth ran under hot water).
No you can't and if you think you can you must not have zits but something else instead