N.Y.C. Admin. Code § 20-409.2: § 20-409.2 Civil cause of action.

Any person injured by the failure of a process server to act in accordance with the laws and rules governing service of process in New York state, including this subchapter and regulations promulgated thereunder, shall have a cause of action against such process server and process serving agency, which distributed or assigned process for service, in any court of competent jurisdiction for any or all of the following relief:

a. compensatory and punitive damages, provided that punitive damages shall only be awarded in the case of willful failure to serve process;

b. injunctive and declaratory relief;

c. attorneys' fees and costs; and

d. such other relief as a court may deem appropriate.