Yes, the statute of limitations in New York can toll if a person is out of state for a long period of time. See CVP § 207. Defendant's absence from state or residence under false name:
If, when a cause of action accrues against a person, he is without the state, the time within which the action must be commenced shall be computed from the time he comes into or returns to the state. If, after a cause of action has accrued against a person, that person departs from the state and remains continuously absent therefrom for four months or more, or that person resides within the state under a false name which is unknown to the person entitled to commence the action, the time of his absence or residence within the state under such a false name is not a part of the time within which the action must be commenced. If an action is commenced against a person described above, the time within which service must be made on such person in accordance with subdivisions (a) and (b) of section three hundred six-b of this chapter shall be computed in accordance with this section. This section does not apply:
1. while there is in force a designation, voluntary or involuntary, made pursuant to law, of a person to whom a summons may be delivered within the state with the same effect as if served personally within the state; or
2. while a foreign corporation has one or more officers or other persons in the state on whom a summons against such corporation may be served; or
3. while jurisdiction over the person of the defendant can be obtained without personal delivery of the summons to the defendant within the state.