Yes, it may cause the sunken eyes because of the lack of iron in the body. With iron deficiency, the body iron enzyme activity is reduced which may thus be caused many organization cell metabolic disorders, clinical symptoms, anemia incidence degree and the priorities. In addition to sallow complexion owned by the person with little iron in the body, it can severe anemia. It also has glossitis lingual mucosa, atrophy tongue, smooth congestion and so on. What's more the anemia may cause the dry eyes which have no elastic skin around the eyes. Thus, the sunken eyes appear. You'd better eat the food with iron, such as rice, meat and so on.