You can never live forever. If we don't die of old age we will die accidentally. I imagine car accidents alone would restrict most people to a few hundred years.
Fatalities per 100 Million
Vehicle Miles Traveled: 1.37
At that rate, if one drove 10,000 miles per year of his life, he could expect to live around 7,300 years.
Also, accident rates do not exist in a vacuum. They are affected by other risk factors, such as heart-disease and cancer, such that a world with less death from disease could be expected to be less risky in other ways as well. If the number one risk of death in your world were accidents, wouldn't you try to compensate for that by being more cautious?
If we ever get to the point where we can back up our consciousness, we could ensure there was enough redundant storage to make an accidental erasure of all copies a very unlikely event.
