I don't believe the fuel pump normally runs in the key on position with the engine off. Only while cranking or while the engine is running and key is in the on position, (if it is still in stock configuration).
Does the engine turn at all while cranking? The whining noise happens all the time or only while trying to start the engine? Try to isolate the noise better if possible.
Perhaps the easiest thing to check would be your actual battery voltage. Also check battery voltage while attempting to crank the engine.
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