If you contracted hep b at one time and are clear, will I still be able to have the BBL procedure?

There is no reason that you cannot get the surgery just because you have Hep B. The main concern would be your overall health and surgical risk, as this is a big operation so proper medical clearance will be helpful. The beautiful thing about BBL is that it allows you to
lose fat from the areas where you have more than enough, while adding that same
fat to the areas where you do not have enough! That way both the donor and the
recipient sites improve. Yes, you are a good BBL candidate. You will likely do
very well and enjoy a nice outcome. Good luck!

Having had Hepatitis B and being cured in no way hinders you from having a BBL. The usual precautions are always taken.  My Best,  Dr Commons