Wait for it...
It is! In fact, five percent of babies lactate! Neonatal Milk or "Witch's Milk" is milk produced by infants. It's brought on by breastfeeding and hormones. Aaah, hormones, they never cease to disappoint. Apparently this hormonal phase only lasts for a few months and, as previously mentioned, is very rare. But still - babies making breastmilk - pretty darn cray cray!