I think it's very possible. While I think that Ray Kurzweil is a trifle optimistic about the time frame, I do have to concede that he's done a hell of a lot more research on the topic than I have, and more of his predictions have come true than mine.

It's not quite guaranteed immortality, but there's a few organizations working on finding a cure for aging - which means we'd be able to live for possibly hundreds of years in pre-middle-age bodies until an accident, war, or crime ends us. Most notable are the SENS foundation (Studies Enabling Negligible Senescence) and Google's Calico (CAlifornia LIfe COmpany)
[sens.org]
[calicolabs.com]

We also have Mark Zuckerberg and Priscilla Chan (his wife) laying $3 Billion down with the goal of managing and ending all forms of disease by the end of this century.
[theguardian.com]

With all of that stuff going on, we don't even need to count on the Singularity arriving before we see humanity reaching the point where we can add about a year of healthy life to our lifespans for each year that passes.