No, Bolares... it couldn't be said for any race. Because of Cultural Weight and Cultural Momentum.
Elves are woodland beings. Doesn't matter what your specific setting has to say about them, culturally they wear green and have bows and are often spellcasters because pop culture agrees upon it.
Halflings are cooks and happy little jokesters who live in cozy little homes that big people bump their heads upon. They're farmers and simple peasant folk. Because pop culture agrees upon it.
Dwarves are smiths and warriors who live underground and make some of the most amazing weapons, armor, and metalwork possible! Because pop culture agrees upon it.
Sure. You can make metropolitan elves, like Seramus says. You can slap various cultures onto elves using A5e's awesome Heritage/Culture split.
But ultimately, when some rando on the street thinks about elves, they'll think about point-eared archers wearing leaf-brooches and art deco embroidery on their green tunics and brown boots. And your elves will be a "So elves -but-" because you're working off that baseline and making changes.
Gnomes? Gnomes have no cultural weight outside of this smug lil' guy.
And that is, very clearly, not a D&D Gnome.