Yes hunger can cause dizziness. When you are hungry there are certain hormones which are produced in the digestive system like ghrelin, which sends a signal to your brain that your system requires food. Whenever that is ignored it gives you a nauseating feeling hence you get this feeling. Plus your body goes into catabolic stage, body derives calories from the muscle and glycogen stored in the liver.
Insulin level goes down. Whole process gives you a feeling of dizziness. Dizziness when you are hungry can be a symptom of two common conditions. Low blood pressure, or hypotension, can make you feel lightheaded and dizzy. Malnutrition occurs when the body isn't getting enough nutrients; sometimes the condition is life-threatening.