Is it possible to have hashimotos and normal t4 t3 (liothyronine) and tsh levels? fatigued, freezing always, hair falling out, constipation 20 lb weight gain.

Probably not: Discuss your thoughts w/ the doctor who ordered the tests and got the results. It id not likely that these would be normal if you have that condition. T4 would be likely to be low and TSH high to compensate - but get a good explanation from the Dr along w/ alternative possibilities. Drink water, eat fruit/veggie based diet, exercise properly and rest/sleep well while you search for cause. Best!