No......the internship can be treated like a summer job in a Colorado resort...you are working there (NY) as a non-resident....
You just put NY in as a state in "Other State Income" at the bottom of the Personal Info page.
You remain a full-year NC resident, and you put NY at the bottom of the page and file as a nonresident for that NY income.
____________*Answers are correct to the best of my knowledge when posted, but should not be considered to be legal or official tax advice.*
