My wrist doesn't hurt but my thumb is killing me. could it be from having carpal tunnel?

No: The symptoms you describe suggest a tendonitis or arthritis. Carpal tunnel syndrome presents with pins and needles, numbness or electric shock sensation in a different distribution in the hand.

Thumb pain especiall: At the base of thumb commonly is due to arthritis or tendonitis, the nerve pain that affects the thumb and fingers can be from carpal tunnel too but its is a diferent type of pain, a numb tingling pain that in severe cases of cts is known as dysesthesia or painful feeling.