I dont think immortality is something that can be achieved by humans.
Sure it can, there are animals that are technically immortal, there is a jellyfish that basically can live forever. If the jellyfish is injured or sick, it returns to its polyp stage over a three-day period, transforming its cells into a younger state that will eventually grow into adulthood all over again. So in terms of possibility, we definitely can.
I personally would like it, everyone would be immortal too so you don't need to worry about your loved ones dying and there is always something new to do.
But if you couldn't die and got sick of being alive there would be no way out. After a million years you would have done anything you ever wanted to do, and be bored shitless. Imagine the prospect of another hundred million years after that, then another hundred million years.