Yeah, but the life expectancy due to current accident rates would be somewhere around 1500 or 3000 years, I think. Not counting superior medicine for treating injuries or behavioral changes in either direction. Accidents aren't independent of behavior and precautions, after all.

At those lifespan numbers, possibly cataclysmic variables start dominating: climate changes, civilizational breakdown, wars, meteors... of course, a Kardashev Type I civ could control some of those variables as well.