Absolutely not, at least if you don’t think in terms of personal fame but impact you have on the people you live with. It’s something that becomes super apparent when you have kids. You pass on so much and that will live on forever, in a million remixes. I love that idea as it gives a lot of meaning and purpose even on the small little moments and things in life.
Even if you are remembered briefly, what’s remembered isn’t you it’s just some vague representation of you that will fade over time.
Some famous Roman emperor might have said something similar 2000 years ago for all I know but I forget his name. :P