Yes, it is very possible. There are glands in eyelids which can produce tears to moisturize and lubricate our eyes. Because of less sufficient lubrication in eyes, the conjunctiva would be less moist than normal, which might resulted in redness, and grittiness of eyes and blurry vision. This is so called dryness of eyes. There are many cause of eye dryness, including any condition which causes corneal scarring, sjogren syndrome, lagophthalmos, riley-day syndrome and deep anesthesia. Deep anesthesia is a cause of dry eyes, but it is not a big deal, you don’t have to worry too much. Just instill some artificial tears into eyes, which could relieve the symptom right away. This dryness can go away soon.