Yep, like most Fords there is an "inertia fuel cut-off switch" located in the trunk to disable fuel pump operation on impact. It's attached with two screws. I can't tell you exactly where it is by the information I have, but it shouldn't be hard to find, possibly behind a side-panel.
Find it, and depress the button on top to see if that corrects the problem.
You can also remove the gas cap and listen for the fuel pump "whine" with the key on for two seconds, or continuously while cranking, to confirm an electrical failure at the pump to be the root of the problem.
Next time please post your topic for this vehicle under Ford >> Mustang.