Can you get breast abscess from having sucking on your breast?

Potentially: Breast abscesses often arise from normal skin bacteria entering through breaks in the skin at the nipple-areolar complex. Therefore, any significant trauma can lead to an infection, but the degree of trauma would have to be severe enough to break the skin surface.

Common w/breastfeed: Mastitis/breast abscess is a not uncommon during lactation/breastfeeding but uncommon otherwise. Milk stasis (incomplete emptying) provides a good substrate/food for bacteria. Common bacteria are from the skin (staph & strep). Paradoxically, breastfeeding is the best preventative for mastitis/abscess. Infants empty the breast better than any pump. A lactation consultant can aid this as well.

Yes: It is possible. The milk ducts are an open system and bacteria form the skin or mouth can enter the ductal system and cause infection. Mostly seen with nipple piercings or ductal ectasia and stasis meaning there is fluid in the milk ducts and the ducts are a little swollen [which is normal]. If nursing, continue or pump to get milk out and keep dusts empty.