Yes, it is impossible for you to get the dark circles because of the dry eyes. The dry eyes will make your eyes feel uncomfortable. In addition, your dry eyes could also cause other eyes problems, like the redness and eyes infection. The dryness of the eyes will not make your eyes look beautiful, lack of vitality. You need to use the eyes drops to moisture the eyes. You could also use the warm compress to make the eyes feel comfortable.
I never heard that dry eyes can cause dark circles. And i didn't found any evidence prove it. Usually, people with dry eyes may also suffered from itches eyes, pain in the eyes, foregin feeling in the eyes as well as red eyes some times. In fact, dry eyes is not a big problems, just use some eye drops that work effectivly. Besides, drinking more water can also release eye dry. Hope this can help feel better.