No, a state cannot punish you for something you did in another state. To renounce your state citizenship (there is no such thing really, it’s called residence)

No, a state cannot punish you for something you did in another state. To renounce your state citizenship (there is no such thing really, it’s called residence) you move and take an address in another state. After some time, usually 6 months, you now legally live in the new state.