If you have a medical condition this certainly can causes complications after surgery. You will need to get medical clearance from your medical physican and urologist prior to considering a major operation such as an abdominoplasty. If all of your physicians are in agreement then the the surgery should be able to be performed safely. I do not know of any direct contraindications for a patient with kidney stones.
You want to make sure that you are medically cleared by your primary care physician and if need be, your Urologist who takes care of your kidney stones. They will help guide you through the process. I do not see any reason why you can not have the surgery but it needs to be coordinated by your team of doctors.