You absolutely could, because by the time you hear the shot, the bullet has already hit its mark. If you can hear the shot and duck, he missed.
If you are in a situation where you need engine power so quickly that it can't provide it after quickly restarting (because it does restart very quickly) then it's highly unlikely you would react quickly enough to avoid the emergency anyway.
1 second is an eternity in that situation... all I’m sayin