There used to be a cause of action called "alienation of affection" which would have allowed a suit like that. That cause of action was abolished in New York at least a half century ago.
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It depends - some states have interference with marital relations, sometimes called "alienation of affection" statutes, others allow a claim even absent such a statute. However, I believe that New York has done away with that cause of action. You need to check with a New York domestic relations attorney.
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Alienation of affection is gone in New York but in certain circumstances and action could be advanced under an infliction of emotional distress theory. However, such an action would only be viable if the plaintiff was in the "zone of danger" at the time of the injurious occurrence.
Such a situation being fairly unlikely, I tend to agree with my colleagues in concluding that NO is the best answer to your question as it was stated.