Healthy with medical conditions that are stable (eg. high blood pressure, absence of one kidney, etc), may undergo elective cosmetic plastic surgery like a BBL if their primary care physician (PCP) and specialist (e.g. kidney doctor -nephrologist) clear the patient for surgery
Having one kidney is not itself a reason why you can't have cosmetic surgery. As long as you have normal kidney function and no other medical problems, you can have cosmetic surgery with full medical clearance.