No state legislature lacks jurisdiction in their own state. The instant you cross into a state’s sovereign territory, you are subject to that state’s laws.
Federal law supersedes state law based on Article VI to the U.S. Constitution, which declares the Constitution and the Laws of the United States as the Supreme Law of the land. Except for issues that Federal banking regulations cede to the states, e.g., usury laws or foreclosure proceedings. the states have no ability to regulate the actions of a national bank, a Federally chartered savings association or a Federal credit union. For example, the state of Texas forbade chartering of state banks from admission into the Union until 1903. During that period, national banks operated in Texas unrestricted by state laws.