Yes, it can, but TSH is a pituitary hormone not a thyroid hormone. You also need to have your actual thyroid hormone levels, Free T4 and Free T3 tested as well...
Many doctors think that testing TSH is adequate, but TSH should not be the only determining factor when diagnosing hypothyroidism.
You should also have thyroid antibodies tested to determine if you have Hashimoto's Thyroiditis, which is an autoimmune condition that eventually destroys the thyroid gland so it no longer produces thyroid hormones. Hashimoto's is the most common cause of hypothyroidism in the developed world.
What, if any, symptoms do you have that might indicate hypothyroidism?