N.Y. Elec. Law § 11-302
A person who is an employee of the board of elections or who has been appointed to serve as an inspector of elections, poll clerk or election coordinator at a polling place other than the one at which he or she is registered to vote, may deliver to the inspectors of election of the election district in which he or she is registered, or to the board of elections, at any time during the period in which an application for an absentee ballot may be so delivered pursuant to the provisions of this chapter, a written statement that he or she will be unable to appear at the polling place for such election district on the day of an election because his or her duties as an employee of such board or as an inspector, poll clerk or election coordinator require him or her to be elsewhere. The board of elections shall provide such voter a special ballot any time prior to the close of the polls on election day, provided however that the distribution of such ballots to such voters shall be timed to afford such voters sufficient time to cast such ballots prior to the close of the polls on election day. Such cast ballots may be delivered to an office of such board of elections or to any board of inspectors not later than the close of the polls on election day. Such ballots shall be retained at the board of elections and cast and canvassed pursuant to the provisions of section 9-209 of this chapter.
N.Y. Elec. Law § 11-302