With wing mounted engines on two-engine airliners, there is physically no way to take off on one from other than a dry lake bed. The thrust from the operating engine will introduce more yaw on the airplane than the rudder, nosewheel steering, and wheel brakes can counteract.
Even tail mounted engines (with a shorter coupling arm to the centerline) will typically have a Vmcg (roughly, speed at which lateral control on the ground is lost with one engine inoperative) that will preclude takeoff on one (physically, not by regulations) from available runways.
Even tail mounted engines (with a shorter coupling arm to the centerline) will typically have a Vmcg (roughly, speed at which lateral control on the ground is lost with one engine inoperative) that will preclude takeoff on one (physically, not by regulations) from available runways.