I'm 5'3" and I weigh 250 lbs. Do I qualify for a BBL?

No. Currently your BMI is 45. Its important to remember that generally most surgeons will, safely, do about 5-6L of liposuction per round (assuming you do more than one) that equates to about 10lbs that they will have to work with. Given how much excess fat you have vs how much your surgeon can work with the results will be minimal. Also, as your BMI increases above 30, 35, 40 your risk of post surgical and anesthesia related complications increase.

Your BMI is 44.3, indicating your weight is in the Obesity category for women of your height. Most board certified plastic surgeon look for a BMI approaching 30 to ensure enhanced results and to minimize the risks of complications during and after surgery. Consult with you PCP to discuss a diet and exercise plan that will facilitate you becoming a candidate for a BBL.

Dear Adventurous830777,
it is hard to tell for sure without an examination. If you are considering a surgery, I would suggest you to consult a board-certified plastic surgeon. Only after a thorough examination you will get more information and recommendations.
Daniel Barrett, MD
Certified, American Board of Plastic Surgery
Member, American Society of Plastic Surgery
Member, American Society of Aesthetic Plastic Surgery