Can hiv be contacted via sucking a non lactating hiv positive girl breast?

In theory, there might be small risk. However, there are no reported cases of HIV transmission in this way. Even when HIV infected moms nurse their babies, on average only 15% of the babies become infected after several months of swallowing a few ounces of breast milk every day. Obviously the tiny amount that might be swallowed in this situation carries almost no risk of infection.

Since HIV is a blood borne virus, transmitted by blood and bodily fluids, than transmission is possible. If a small amount of milk was ingested and the gums were swollen and bleeding, than transmission is possible but highly unlikely. No report of this has been reported yet.