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No, hormonal problems generally do not cause signs of itching in dogs. As a matter of fact, skin problems and hair loss with a lack of itching are the flags for considering hormonal problems in dogs. Also, 14 months would be an exceptionally young age to develop any hormone related illnesses.
If you haven't treated your dog for sarcoptic mange, that would be a good first thing to do since even rigorous examination of the parasite very frequently fails to make a diagnosis of mange. Treatment is safe and relatively inexpensive.
Blood testing for inhalant allergies actually has been shown to be as effective as intradermal skin testing. The problem is that using allergen injections to treat the allergy has a significant failure rate.
Finally, food allergies should be considered. I believe that the best food to feed to test for food allergies is Hills z/d ultra. It contains hydrolyzed proteins that should not stimulate the dog's immune system. This needs to fed exclusively (not so much as one snack) for a minimum of 4 - 6 weeks.
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No doctor patient relationship is formed by this communication. This advice is no substitute for a complete physical examination and appropriate diagnostics provided by a licensed veterinarian.