Well, yes, Allergies can cause frequent eye blinking. And in most cases, it will also make your eyes feel itchy. Generally speaking, sneezing and a mild junky sounding cough often accompany allergies can cause eye blinking. And on other words, when excessive blinking is with redness or itchiness of the eyes, it may be due to allergies. By blinking, it actually releases the discomfort. So at this moment, you should search for the specific cause and then have medication. Besides, when you have dry eyes, it is also likely to have frequent blinking. Anyway, just go and see an eye doctor, if the situation can not be controlled.