Can you move out at 17 if you live with your parents but you have a notarized letter stating you are living with your aunt?

The presence of a notarized statement is not relevant, as the state law determines the age of majority and the court determines who has custody of a minor if the parents have had their rights terminated or some other issue prevents the minor from living with them. That does not appear to apply in this case, the parents have legal custody of you unless a court has ruled otherwise. The legal age in most US states is 18 and there are no states where a 17-year-old can legally and arbitrarily leave parental custody if the parents are opposed.