 [ Symptoms ] if a child is allergic to milk can he have lactose free milk or lactaid [ Disease ] no  people are allergic to the cow is milk protein lactose is the sugar found in milk so lactose free cow is milk still contains cow is milk protein some people have an intolerance to the milk sugar lactose which can cause gas and bloating but a lactose intolerance does not cause lip swelling hives eczema or any other serious allergic reaction