Well, in my opinion, migraine cannot lead to droopy eyes. Generally speaking, according to some experts, when you have migraine, some other symptoms such as eye twitching, a harsh bilateral headache experienced at the backside of the head may occur too. And also, visual aura, temporary partial vision loss, and nausea can be possible. But on the other hand, for droopy eyes, it can be caused by weak levator muscle, paralysis of some nerves, even Injuries such as fracture of the skull bone between eye socket and nose. So I have to say that migraine cannot lead to droopy eyes.