Is there a word that means wine artisan?

There's "winemaker" but that doesn't imply that the wine is any more "artisanal" than any other wine.

"Vintner" is sometimes used as a synonym for "winemaker." Again, no implication about the quality, and also the Word is used for people who sell (as opposed to make) wine.

"Vigneron" might serve. In French, it literally just means someone who grows grapes or makes wine, but in English-speaking countries it has, by virtue of being "foreign", acquired a certain cachet that implies that a vigneron is involved in the entire process from growing the grapes to producing the wine. This is likely your best bet.