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I do not know what you intend by the question. A rent due date is determined by the lease. Most NYC leases do not provide a grace period. But you need to look at your own lease.
If you live in low-income housing you jeopardize your tenancy by not paying your rent on time.
Nevertheless, New York law forces a landlord to proceed with making a statutory rent demand on the tenant to pay past due and unpaid rent before starting a court case. Even should the matter go that far, and the landlord gains a judgment, NY law allows the tenant to avoid eviction by paying the judgment in the designated period.
Try to inform yourself about the nonpayment process in NYC at: