Does the FAA require civilian commercial airliners to have some sort of catch-all (e.g. positive stability if you kill all power and lower a ram-air turbine and

Does the FAA require civilian commercial airliners to have some sort of catch-all (e.g. positive stability if you kill all power and lower a ram-air turbine and assuming your flaps aren't jammed)? I don't know if that would have saved lives on those flights, because it was high enough to crash and low enough to not turn around to the airport or get to safety, but I would think a gliding plane and some base assumptions about the inherent flight characteristics of their plane would give the pilots a few precious seconds to think (like the miracle on the Hudson). Physics-based problems should have physics-based solutions. If the engine placement and weight distribution caused an inherent problem with the stability of the aircraft, a rule like that might have given Boeing pause, no?