Nope. My son is 4 weeks old and drinks between 4 - 6 oz. every time he eats. Instead of eating every two hours it's every 3-4 hours.
My daughter is eight months old, when she was a newborn the nurses were amazed because she was drinking four ounces from the first day, by the time she was three weeks old she started drinking eight hounded every three hours. Now she drinks ten ounces about five times a day... So each child is different