Thank you, everyone for your answers!
Well, I called my doctor's office and asked about it. It turns out mine does after all, but you have to ask at the time you make the appointment. It was weird, bc during the appointment she gave me the impression she didn't (or at least didn't want to). Same happened with my old doctor too. I did have one in between the two who would at least ask if you were interested in having it done, though at the time I didn't use her for it bc I had a (horrible) GYN.
Soooo, I'll be making an appointment there for my next PAP. So glad I don't have to go anywhere else. I love my birthcenter and their midwives, but they are such a hike away (an hour). I kind of like having a "one-stop shop" for all my medical examinations.
Now, if only I could talk her into doing dental cleanings....