I need to clarify a little. In many cases, the chasis and signal ground are connected, so if you used a continuity tester or Ohmmeter you would see little to no reistance from the chassis to the outer shield. Not always though, many either put a floating ground or a resistor to keep the two from being exactly the same.
But generally speaking, yes, there is a current path from the chassis to signal ground. No, it is not a safe substitute for the AC cable ground.