No, that's just made up crap by the 1973 Supreme court and theoretically based on the 14th amendment, which was also made up crap that was never properly ratified because of Union guns pointed at people's backs.
The Right to Independence is expressly articulated in the Declaration of Independence. The document says the right comes from God.
It's written down in black and white and signed by all the representatives of the 13 original states.
So no, it's not like "abortion rights" at all.
By no warped twisted logic can the Declaration of Independence be construed to grant an unlimited "right of secession" at pleasure.
Rather, the document speaks first of what is "necessary", and then lays out a "parade of horribles" to prove "necessity" is its root cause.
But your twisting the Declaration's clear language to justify the otherwise indefensible, that is exactly what the Supreme Court has done in several famous cases.