Tsh 1.38 uiu/ml, free T4 1.09 ng/dl, free T3 (liothyronine) 3.09 pg/ml 3.09 but have anti thyroglublulin of 0.65 iu/ml can I have a thyroid problem?

Unlikely. Your values seems in normal range, but you must be examined and evaluated clinically to determine if you have a thyroid problem. History and examination is very important.