The US Constitution currently has no mechanism to break any individual State out of the Union. Throughout our history, this has been interpreted as a sign that the Union is perpetual, and not able to be dissolved. This got put to the test in our Civil War, where a bunch of states up and said “We’re Leaving” and the Federal Government said “You can’t just do that”. They fought a war over it, and the Federal Government won, proving its position correct by force.
With that said, the US was founded as a government of the People, and so if the people want to carve out a way for States to leave, they must first establish a mechanism via amending the Constitution, which requires a 2/3 vote in both houses of Congress (or a Constitutional Convention) coupled with 3/4 of State Legislatures ratifying it.
There is a provision, though, to make States out of other States. Maine and West Virginia were both formed out of land that belonged to Massachusetts and Virginia.