Yes, allergies can be affected by hormone levels.
Do a search on "estrogen dominance". I think I've been suffering from that for months now. I used to take progesterone cream but stopped as I was exercising and things seemed better.
But my allergies and sinus issues have been crazy! My eyes are so dry they feel like there's hair or dirt in my eyes.
When reading about estrogen dominance that happens during the perimenopausal years, I had a lot of those symptoms. Allegies, dry eyes, hair loss, fatigue etc.
Do a little read on it and see if you match some of the symptoms.