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.
The droopy eyelids will be ugly at the looks. It will cause the headaches because of the interlinked nerves at the whole body, especially during throat, eyes, nose and head. You could use some oil essentials to cover on the surrounding parts of the eyes to release the symptom of the droopy eyelids. You could also do the warm compress to make the eyes feel comfortable.