A first-of-its kind national charter for financial technology firms isn’t getting any takers as a federal banking regulator battles with states over supervision of the industry.

The Office of the Comptroller of the Currency hasn’t received any applications from fintech firms and “remains several steps removed from issuing a charter,” the Justice Department said in a Feb. 26 court filing.

The lack of fintech charter applicants is central to the OCC’s bid to dismiss a lawsuit challenging its authority from...