That depends on your definition of "life"... But the answer is probably no.

If you replace the heart of a healthy human with an artificial one, that human won't die from a heart failure. But he can still die from cancer, stroke or a broken neck because he fell down the stairs. That means the overall number of death due to physical cause will be smaller, but not zero.

The human body is already able to stay relatively healthy into old age if it's maintained and moderately trained. The same applies to our brains. As long as people have something to do in their life, most stay clear minded into old age. But if they loose that purpose or task, the brain power decreases just as much as an unused muscle.

By replacing vital organs you can keep the body alive and minimize the numbers of deaths due to organ failure and unhealthy lifestyle. But those people might be no more than human vegetable if they don't have any reason to keep their brains active and trained to manage the basics of life.

The more sofisticated a society is, the more likely it is that people loose their mental prowess. Our great-grandfathers (and mothers) had to learn many things about agriculture, observe nature and contribute to the family even in old age. Their bodies degenerated faster than their brains.

In our current society, we learn a lot of stuff in school (most of which we never use in life), but we have computers, smart phones, calculators and navigation systems to do the hard thinking for us. After retirement many people loose any purpose in their life and their brains degenerate rapidly due to the lack of mental training. (This effect is calles [Digital Dementia][1])

If this trend continnues in the future, the degeneration of brains might set in even earlier in life and be more devastating, because all the gadgets that make life *so comfortable* mean people never need to train their brains.


  [1]: https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=1&cad=rja&uact=8&ved=2ahUKEwjqgPWSo8XgAhWBgM4BHRx-DWEQFjAAegQICRAB&url=https%3A%2F%2Fwww.psychologytoday.com%2Fus%2Fblog%2Fmind-change%2F201507%2Fdigital-dementia&usg=AOvVaw3DLiO1Sq_sTI0dvXI0wCpO