If it's impossible to survive in (or on, whatever) Manhattan for less than that, then yes. But I suspect there's a more flexible reality to the market than your question implies, given that people there already work for less than that and aren't dying in the streets as a result.
A minimum wage just means you can't decide one day that sales are down and now everyone makes 2 cents an hour to cover costs [1]. It means there should be an implicit minimum cost to maintaining a human workforce, because people need to eat.
