New York IT-2104-E Exception from Withholding Status

I filled out Form IT-2104-E, Certificate of Exception from Withholding, because I am a full time student in New York. As I was filling out my state tax form, it was estimated that I owe the state a large sum of money. Since I filled out IT-2104-E, do I have to file a state tax return? If I do, is there a way to put this form into TurboTax or will I have to pay the state back taxes since I did not have any state taxes withheld?