The answer is yes. Droopy eyelids can exactly cause headaches to some extents. Droopy eyelids is known as ptosis, is the abnormally low position of the upper eyelids. It can happen to one eye or both eyes, which is sometimes called to be lazy eye. Without timely and proper treatment, droopy eyelids might gradually go worse, covering pupil and iris which might lead to other eye conditions. Owing to the droopy eyelids could interfere with vision, it might cause headaches and brow ache for straining all time to elevate eyelids. A thoroughgoing measure is talk to doctor to see if surgery could be adapted for you.