Generally speaking, the answer is no, they cannot.

And the reason is (relatively) straightforward:

New York law immunizes municipalities against many kinds of liability to individuals unless the municipality specifically assumes a duty to them, or in legalese, where a "special relationship" has been created. In most cases, it is extremely difficult to establish that, and as a result, most of these kinds of cases will fail as a matter of law.

Jonathan Cooper
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Non-Compete, Trade Secret and School Negligence Lawyer