I Am 61 Years Old And After Having Graves' Disease

I am 61 years old and after having Graves' disease and being treated with radiation at age 37 I am now/ and have been being treated for hypothyroidism. I am experiencing extreme hair loss, is it possible to have this reaction after taking levothyroxine after all these years. I just had my labs done and I am within normal range, although it's .65.