No it won't, not for you. If you start saving for retirement now, you might be retiring at 60 while everyone else you know retires at 80, even if they make a lot more money than you.
In 2004 when I graduated and started working as an RN, I really wish someone I trusted slammed me up against a wall and forced me to max out my 403B. I did not start maxing it out until like 5-6 years ago. Had I been maxing it out since day 1 I would easily have more than double what I have right now, and I could have probably worked through my 40s, 50s, and 60s going part time rather than full time, ending up in the same spot that I am currently projected to.