Well, yes, allergy to eyes can just cause swelling eyes too. So it can be very annoying and dangerous to have allergic eyes. Generally speaking, there are many people who have got allergy to eyes. And when allergy to eyes occurs, it will just lead to some other symptoms. For example, the most common one is red eyes, and itchy eyes. And of course, swelling eyes can be possible too. And when swelling eyes occur, you should take some measures to treat it. For example, you can just have some ice with cold compresses. Also, some cool teabags can be effective too. Anyway, just have a try.