Is Hooper's Store a bodega?
Could be. Bodegas or tiendas are little grocery stores that do sell small quantities of staples- milk, eggs, meat, fruits and vegetables, etc. Usually Spanish-run. Their inventory is pretty small, since in Manhattan, most kitchens are very small. And because there are so many restaurants on every block, it's easier to eat out than eat in.
How many times has Jerry Seinfeld actually cooked anything? Besides cold cereal.
Plus in Manhattan, there are no large supermarket chains (back in the 70's/80's, there was D'Agastino's, but only a handful of locations). Because of the limited amount of space. The rent on a 10,000 share foot store would be astronomical.
Actually, the closest thing to a supermarket is there is a Duane Reade pharmacy on practically every corner, with a somewhat decent grocery section.
But before I go off too far, yes, Hooper's can be a bodega. Besides the fact he had a lunch counter and a soda fountain, he did sell the basic necessities too.