Well, you could certainly try it. I don't think the two automatically go hand in hand but it is common for people with allergies to also have food allergies. I am allergic to grass also (and horses, and dust, and mold... even trees lol) but I have never had a problem with wheat/ gluten. I do, however have an allergic reaction whenever I eat nuts.
So, do a little experiment. Try to avoid gluten for a week and see if that improves things. I must caution you, though, that gluten is in all kinds of foods that you would not expect to find it in, so your task will not be easy.
Good luck.

Hi!! Grass allergies generally are caused by two "igniters": 1) Pollen from grass (we breath this pollen and our body reacts to it) 2) Chemicals in grass (our skin is in contact with this chemicals and cause allergic reactions). None of this is related to "eating grass". You should maybe ask your physicians for some tests to see if you are not allergic to eat some kinds of foods (not necessarily wheat/grains, etc). If your Physician has already told you that there is no risk then you do not have to worry about eating wheat. Hope That you can share what have you decided and why. THANKS!