Yes, serious eye allergies would definitely lead blocked tear duct. Get in touch with allergens would cause allergic reaction. You might get red and watery eyes. The eyelids might be swollen and the allergic reaction gives you grittiness. It would cause inflammation in eyes. Eye allergy is one kind of conjunctivitis, while conjunctivitis is a possible cause of blocked tear duct. And allergies usually lead to nasal problems, which is a very possible cause of tear duct blockage. To avoid it, you should treat your eye allergy immediately. Wash your eyes with water at once to flush out the possible allergens in eyes. Have fresh air with an air purifier and meanwhile add a humidifier to reduce the irritation from dry air. Normally allergic reaction would go away very soon if you are kept out of allergen. If your symptoms are still getting worse, then you need to see a doctor. If long term of inflammation caused the tear duct clogged already, you could tenderly massage your eyes corners near to nose to help break the blockage. Normally it takes about 15days to get completely cured.