No. Ice cream combines lactose (which parrots can't digest), heavy sugar, and fat — and chocolate or other toxic flavors are common. It has no place in a bird's diet.
Keeper's noteIf your bird begs at your bowl, a spoonful of mashed banana or a frozen blueberry scratches the same 'cold sweet treat' itch safely. Watch chocolate and coffee flavors especially.
Why ice cream is dangerous for parrots
Parrots are lactose intolerant, so the dairy base alone causes digestive upset, and the sugar and fat loads pile on top. Many flavors add outright toxins — chocolate above all. Cold dairy dessert is one of the clearer 'never' foods, even though a single stolen lick won't usually be a crisis.
My parrot already ate some — what now?
A single lick of plain vanilla is not an emergency — expect loose droppings and offer water. If the flavor contained chocolate or coffee, treat it as poisoning: remove the rest and call an avian vet right away.