odds of it happening eventually, go up the longer you live.
Despite this DNA replication being highly controlled and very accurate, the sheer number of times it is performed in the lifespan of a person (estimated to be 10,000 trillion times!) means the introduction of a significant number of errors into the DNA of some of our cells from this fundamental process is inevitable. source
this solution for immortality breaks thermodynamics. given that state, the body can no longer process nutrients to maintain self replication, you can starve cancer cells. either you’re saved by malnourishment or you die from it.