Rewards Edge Cases

Q1: Is it possible that if a user supplies certain asset on AAVE V2, instead of just receiving equivalent number of Atoken, the user can also receive a non-Atoken?

Q2: If I supplied 1000 USDC on AAVE V2, I am subjected to receive equivalent amount of aUSDC and get intrest on it, is it possible I can receive other rewards too without doing anything? If yes how?