Yes, it is possible for you to get the droopy eyelid because of dry eyes because of the lost of the water inside the eyes skin. You could use to adopt the oil essentials on the face which will be absorbed by the skin and make your eyes surrounding parts become smooth and moisture. In addition, the dry eyes may cause other eyes problems, like the eyes infection. You may use some eye drops to moisture the eyes which will avoid you to get some problems at the eyes. You could also often use the warm compress to make your eyes feel comfortable. You could do all the above things to prevent the droopy eyelid.
Droopy eyelid refers to the abnormally low position of upper eyelid, which is known as ptosis or lazy eye. Usually droopy eyelid is caused by three possibilities. One possiblity is that people might get ptosis through hereditary. It is so called congenital cause. Another very common cause for ptosis is aging. As we aging, our skin and muscles are getting deteriorate and sagging for collagen and elacity loss. This is very common and evitable. Lastly, it might be caused by abnormal development of levator muscle which is mainly used to elevate the upper eyelids. This abnormality might be resulted from some eye surgery, eye tumor, neurological disorders or some systematic disease like diabetes. From introduction above, you can see eye dryness won't cause droopy eyelids. So far, the best treatment for droopy eyelids is surgery. For congenital or aging causes, there seems no effective way to prevent it. As to the abnormality of the elevator muscle, it is complicated. I think it is better for you to discuss with your oculist. Find out the underlying root and then you can find proper prevention and treatment.
This symptom of dry eyes may be caused by excessive eyes using. It is related by the inner space of your eyes as well as the tear gland. The decrease of blink times will cause lack of tear hyposecretion that lead to dry eyes and visual fatigue. This time you need artificial tears to relief the dry eyes and have a good rest after that. About the droopy eyes, it totally refers to the eye socket, the skin around the eyes. It is the outer of the eyes, so the dry eyes and droopy eyelid has nothing relative with each other. However, sufficient rest and sleep would help with the two symptoms. Eyes massage will bring more comfort to your eyes in another way.