If you're not careful with it, yes it can. I have friends who have acne scars on their faces, and they're in their 20's.
I, however, had acne as a teen and I really don't have acne scars. Maybe one small mark or two, but that's normal for anyone.
I made sure that I washed my face morning and night, and I took care of my face. If my acne treatment wasn't working, i went back to the dermatologist and got him to give me something new. I also had overly oily skin, which unfortunately they can't do anything about, but oil doesn't scar, so it wasn't that big of a deal.
I'd say this : If you pop a pimple, keep the area clean and wash your face twice a day. I'm guessing that a lot of people with scars simply didn't use proper maintenance on their faces growing up. That's my guess - I could be wrong though.