Only if I could end it at will.
The issue is, if the planet becomes a giant ball of cinders, I would not like to run naked through a burning planert forever. Although, floating in space after earth burns up might let me meet new and interesting planets and aliens. Of cource, I would also be an alien, so hopefully I could meet fellow travelers that also made a bad decision to live forever and are left floating in space. Just hope I meet a black hole along the way.
Actually, the world will end in a billion or so years because our sun has a finite life. So no, not unless I could end it. I would choose to live a few thousand years or so; think of how great I would be on the Hurdy-Gurdy (ask Mr. Google) and Banjo?
Question: If you could go back in time and "invent" something, what would you "invent?" I put 'invernt' in quotes because you would not be inventing something we all love, you would steal someone's idea before he or she thought of it, which is a paradox of sorts. I would invent the Corset or the player banjo.