Gee! What could go wrong!
The Monk Parakeet is an invasive species. It should be eradicated in Connecticut.
Mine eventually "bonded" with me, but it would not let anyone else touch it. It was not afraid of people or cats, and if it didn't like you, it would fly across the room to get you. It chased cats for fun, and the cats ran. Little kids were not safe. Eventually I gave it to my father in law, and after a couple of months without me, it bonded to him.
But that bird had a sort of alleycat personality and was very smart. I often wondered what would happen if he flew away; I imagined the first winter would do him in. Apparently, they turn "feral" and adapt just fine.