Exactly speaking, it won't. But we cannot rule out special circumstances, such as your eyelids are broken or infection during your healing of blocked tear duct. Blocked tear duct is often noticeable on new born babies. Of course, adults also can suffer it. Blocked tear duct is pathway partial or complete blockage, which will automatic clean in 6 months for babies. While, adults need to receive medicine treatment. Blocked tear duct can cause other eye problems, but not all. Some eye problems occur just because your own basic issues, may be not blocked tear duct itself. Swelling eyes, or eyelids, is a very common symptom among many people. Allergies, conjunctivitis and blepharitis are the most common reasons for it, however, it still exists rare reasons. If you really got blocked tear duct, use a clean and warm washcloth to clean eyelids and have gently massage on the area, then take a treatment. Do not let your drops enter your eyes. Avoiding rubbing your eyes and to seek medical attention when you find something is wrong with your eyes.