There are three levels on which this question can be answered:
(1) the inalienable right of secession,
(2) the international law of secession, and
(3) the US law of secession.
All three say yes.
The Inalienable Right of Secession
The Declaration of Independence of the United States of America invokes the self-evident truths that all men are created equal and are endowed by their Creator with certain inalienable rights, that governments are formed to protect these rights and gain their just powers from the consent of the governed, and that when a government becomes abusive of these rights, it is the right — no, it is the duty — of the people to alter or abolish that government.
From what it says is that its the duty of the people to alter or abolish that government.