Absolutely not. I've lived in a lot of places in the US, and almost none of them outside of a couple of major cities in New England had the equivalent of a NY slice. This has only changed somewhat recently (maybe past decade or so). Even still, it's not nearly as ubiquitous.
It's kind of similar with bodegas, a lot of people will say "we have corner stores too" but that's not a bodega. It sounds snobbish sometimes but there are a lot of actual differences.