If my white blood cells are high 11.9 can you still undergo bbl with no issues?

Ideally, you need to figure out the cause of the infection in your body and treat it appropriately before undergoing surgery as you don't want infection in your body at the time of surgery. 

An elevated white blood cell count and surgery are not a good combination. The source of the elevated white blood cell count needs to be treated before surgery. Placing foreign bodies, implants, or grafts into a body that harbors an infection can lead to serious, even fatal, consequences. This is an ELECTIVE surgery that can be postponed until your health is optimized. Best of luck.