No, when it comes to breastfeeding, breast size is irrelevant. The size of a woman’s breast is mostly determined by how much fatty tissue they contain. This tissue doesnt have anything to do with milk production .
Hormones triggered by childbirth as well as nursing stimulates the mammy glands in the breast to secrete milk and push it into the milk duct under the nipple and areola. The areola is the dark area around the nipple. When the baby sucks, the milk flows into the mouth.