I am experiencing symptoms of hair loss, cold sensitivity, fatigue. tsh came back at 2.39. is it still possible i am having thyroid issues?

Yes, it is possible: Tsh measures pituitary function. You need more extensive thyroid hormone testing- with free T3 (liothyronine) and free t4. You could have a relatively normal TSH but if your thyroid hormone levels are low then there might be a thyroid condition. Also, a study published last month showed that TSH >2.5 (yours is close) was linked to metabolic syndrome (which can cause hair loss, etc.). So get tested for that.

Normal tsh: Since your tsh level is normal I would look for causes other than hypothyroidism as a cause of your symptoms. Anemia, iron deficiency, low blood pressure, adrenal insufficiency are some possibilities. Your beautician can advise you about the status of your hair.