I had a fuel pump failure a couple of years ago. And when it died, it did do a couple of chortling attempts at a start before completely dying. But yes, when you turn the key, there is an electronic buzzing of the pump you should hear prior to pushing the ignition button. If that is not audible, then something is going on with the pump or the circuit. Fuel pump failure with the original pump is a common malady on this board, and if you are out of warranty the fix is straightforward. Great thread on it somewhere here that I used as a reference.
