Yes, possible, even probable. Be sure to hydrate with at least 1/2 teaspoon of natural salt (RealSalt, grey Celtic Sea Salt , Himalayan)and plenty of water to keep urine flowing. The chloride in the salt helps push bromine out, but you need sufficient water to make use of that salt, at least 2 quarts.
Depending on what your health challenges are, once you "clear" on this dose -- and you will get to feeling better -- you may decide to raise potassium Iodide (KI) to the next level. Yes, there will be another pocket of bromine there as well.