Yes, that is correct. I found the following online (legal site)...do you know if this is true?
New York's wage deduction statute is an example of this highly restrictive type of law. It specifies that only deductions that benefit the employee are allowed, such as deductions to cover the employee's portion of a health insurance premium, and an employer in New York must still must obtain the employee's written authorization for those deductions. Under the New York statute, an employer who has mistakenly overpaid an employee (because of, for example, a clerical error) cannot legally make a deduction from that employee's subsequent paychecks to correct for the overpayment, even if the employee has agreed that he or she was not entitled to the payment and has signed a written authorization. The employee's signed authorization would not protect a New York employer from liability should the employee later chose to sue the employer, claiming that he or she unwillingly signed the authorization under threat of termination.