Note also that 'ke'/顆/颗 is a very common classifier for apples, and other smallish, roundish objects, including many types of fruit.
The correct way to say give me three apples would be
把，with the hand.
Both sentences are correct for their respective context.
How do you say "Can I have three apples" ?
What about 给我三些苹果?
些 is a classifier for groups or bunches of items. So it would mean something like "Give me three bunches of apples"
Sounds a little bit rude cuz there are no "can" and "please" characters
Should be 把
Simp: (苹) Trad: (蘋)