Yes, it is possible to lead to eye wrinkles because of eye allergies. Since you get eye allergies, you will feel very uncomfortable with your eyes, so you will constantly rub your eyes. While the skin around your eyes is very thin and sensitive, which will stretch your collagen, fibers and skin around your eyes. And if you keep doing this for a long time, it will lead to loose, maybe baggy, skin or wrinkles around the eyes. So remember try not to rub your eyes and remember to use eye drops, which can soothe the itching skin around your eyes. What's more, provide moisture around your eyes with a proper eye cream, which really help smooth out your existing wrinkles. Have a try and good luck!