Probably not. New York taxes income from services performed in New York State or a a business, trade, profession, or occupation carried on in New York State.
It sounds like your client was the California consulting company rather than the New York company. To provide a better answer, someone would have to know more about why type of services you performed and how much direct interaction you had with the NY company.
New York Source Income of Nonresident Individuals, Estates, and Trusts, and Part-Year Resident Indiv...
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