No, no, no, no, NO! These days this nickname is unusable because of the association with lolicon. Any other nickname for Dolores would be better than this.
PLEASE never name your child this or even use it as a nickname, I could understand someone naming their child Lolita not knowing or caring about its not-pleasant association nowadays but this one is just not good at all especially if you’re in a country (especially Japan) where this word is pretty much inherently associated with the sexualization of underage girls.