Without any evidence, I find it hard to believe that none of the Jewish communities in eastern Europe did not include farmers ...or at least agricultural workers. I understood that a lot of these places were very rural.
Jews in the Pale did farm in the sense of having kitchen gardens and a few chickens and cows, but the shtetl economy was based mainly on villages of tradesmen serving the nearby peasants. Similar arrangements existed in some other parts of the world, for instance Morocco and Yemen. The common denominator is that Jews were heavily restricted from owning or renting agricultural land.
In places and times where Jews could own freehold land, some did farm, and it was particularly common to have vineyards due to the rules governing ritual wine.
New York is the wrong city, but the idea of a Jewish city state have always been an interesting idea.
There have been a number of cities which had Jewish majorities or were thought of as Jewish by neighboring people - Lunel in medieval times, Thessaloniki and Odesa and Bialystok in the late 19th and early 20th centuries. It would be hard for any of them to emerge as city-states, though - maybe Thessaloniki during a fragmentation of the Ottoman Empire would be least hard.