No, New York has no waiting period before either party can file for divorce.
The only time limits that New York is concerned with are that one or both parties lived in New York for at least a year prior to beginning the divorce action, assuming that they were married here or lived as a couple here.
Otherwise, a person who has lived in New York for two years, without his or her spouse, can file for divorce in New York, even if the couple was not married here and never lived here.
This establishes residency, and gives the state of New York jurisdiction in your case.
If you have questions about filing for divorce in New York, call the Brooklyn divorce lawyers at Zelenitz, Shapiro & D’Agostino at 718-725-9601.