Yes, it is possible. Anemia refers to a condition that people have lower red blood cells or hemoglobin than normal range. While hemoglobin is critical in binding oxygen in blood. With low standard of hemoglobin, the oxygen provided to the skin under eyes is not enough, the blood would be dark and the viscous flow would cause discoloration there, therefore dark circles are resulted. Because of anemia, organs can't get enough nutrition and oxygen, so they can't maintain function very well. So people might get fatigue easily and the skin is dry and dull. Have a light diet, rich in iron, which is helpful for people with anemia. I am suffering from anemia too. I know that liver is rich in iron and it is very good for anemia patients. To reduce to dark circles, you should have more nutritions, vitamin supplements and fresh fruits and vegetables. Some mask of yoghurt, potato or cucumber slices could help to reduce the discoloration. Do some massages with oil could help accelerate the blood flow to reduce the dark circles.