This is the core idea behind the often repeated but rarely appreciated phrase:

"No matter where you go, there you are"

and there is a corresponding idea in the Zen tenet:

"There is nowhere to go, there is nothing to do."

"Yourself" evolves, and one can influence the evolution, but one always brings the old self along - the new self is a shell around the old self, like a layer on an onion. The physical analog to this is "ontogeny recapitulates phylogeny", i.e. the fetus goes through developmental stages which reflect the earlier creatures from which we evolved.
The big difference is that one's personality can revert to those previous "selves" with the right stimulusStress can be a serious trigger, and the likelihood of reversion can depend on the maturity, integrity, and sincerity of the new self, and motivations behind its development.

So, you can't get away from yourself, but you can go back to yourself or come back to yourself.