Zagat says yes.
Consumers have had information at their disposal for a few years now about the fish they purchase in retail stores. This was helped along by some legislation C.O.O.L (country of origin labeling) that took effect in 2004. This law only applies to retail stores and excludes prepared fish. So basically every restaurant is exempt from any reporting. One still must be careful and dine at trusted restaurants, because some misleading information is out there like the Florida grouper debacle that had numerous species filling in for the states favorite fish in a bun.