To become a sovereign entity, it is necessary to occupy land not claimed by any government and the entity must successfully petition other nations for diplomatic recognition. U.S. law does not, as of 2015, contain a provision for residents to become personally independent of the jurisdiction of the United States while residing within its borders.
Individuals who wish to live independently, without any controlling legal framework, must physically leave their country of residence, occupy an area that is neither owned nor claimed by an existing sovereign entity and gain some kind of recognition from other governments as a legitimate national government. This has occasionally been done, as with the nation of Seeland. Once the unclaimed area is occupied, a notice of claimed sovereignty must be presented to other governments as a request for recognition. Granting recognition is at the discretion of the petitioned governments.
Individuals who reside inside the borders of the United States, however, have no legal mechanism for separating themselves from the legal framework of American society. It is only possible to renounce U.S. citizenship by physically relocating to another country, then meeting with State Department officials to abdicate the legal rights of a citizen. Barring diplomatic immunity, both law enforcement and the U.S. court system continue to hold all persons accountable to the law regardless of claimed citizenship status.