No. Parrots are lactose intolerant — milk, cream, butter, and ice cream cause digestive upset and offer nothing a bird needs.
Keeper's noteHard cheese and plain yogurt are lower in lactose — see their separate entries — but liquid milk has no place in a parrot's diet. A drop of unsweetened almond or oat milk is the safer 'sharing a sip' substitute.
Why milk is dangerous for parrots
Birds lack the enzyme lactase, so the lactose in milk ferments in their gut, causing diarrhea and discomfort. Butter and ice cream add fat and sugar loads on top. Milk isn't toxic in the persin-or-cyanide sense, but it reliably makes birds ill, so it sits firmly on the do-not-feed list.
My parrot already ate some — what now?
A sip of milk is not an emergency — expect loose droppings for a day and provide plenty of fresh water. Call your avian vet only if diarrhea persists beyond 24 hours.