Can states make their own laws?

"America is a complex tapestry of laws, from the local ones passed by your city council to national laws made by Congress. Sometimes Congress passes a law to build a program, such as the Affordable Care Act, and then hands some or all of its administration over to the states. Was it always like this? What happens when a state and the national government disagree? Readers find out how these issues have evolved since before the Constitution was signed"--Amazon.