Try this: remove fuel line at the ouput side of the fuel pump, fit hose into can and crank the engine. If the fuel pump won't draw fuel, it's a bad fuel pump.

If the fuel pump works, but the fuel bowl will not fill, then perhaps the filter in the carburetor inlet is plugged, or the needle-and-set valve is stuck. Not all Hitachi carburetors have an in-carburetor filter, but some of the B310 ones do.