Does New York Have a Chief Minister?

No. New York is a U.S. state, not a parliamentary system. Its chief executive is the Governor.

Current Governor (2025): Kathy Hochul (Democrat), in office since August 2021 (succeeded Andrew Cuomo). Elected to a full term in 2022.

The title "Chief Minister" is used in some parliamentary systems (e.g., Indian states, Australian territories, UK devolved governments), not in U.S. states.