No. Liquor licenses are strictly state-specific. A license issued by another state has no validity in New Jersey.
Each state maintains its own alcohol regulatory framework. To legally sell or distribute alcohol in New Jersey, a business must obtain a license from the New Jersey Division of Alcoholic Beverage Control (ABC). The application process involves background checks, local municipal approval, compliance with zoning, and adherence to NJ's specific license categories (plenary retail consumption, distribution, etc.).
Interstate reciprocity does not exist for liquor licensing. Even national chains must secure separate licenses for each state of operation.