The answer is "yes," for sure, providing we don't destroy ourselves first.
It won't be organic "eternal life" however. Your brain will be downloaded into a computer type device and that is what will live forever...it's the only part of "you" that matters, anyway.
All manner of mind blowing things will be possible once we figure out AI.
Some of the leading researchers in that field (probably biased, I know) think this could be as near as 10 years.
I think it will take more time than that.