Could it be done with an empty airplane, I believe so.

By accident? Not a chance in hell...multiple master warnings and cautions displayed prior to T/O, T/O Config master upon setting power, massive yaw, the need to significantly reduce power between some low IAS and VMC in order to keep the nose staight.

Most three and four engine airplanes can be legally ferried minus one engine.

Actually I personally know a retired major airline pilot who relates a story about the 727...back in the day, management started a program to save engine wear (I don't know if they cared about fuel cost then) which required the crew to taxi with #3 shutdown. Not being used to this, my friend's crew attempted more than one two-engine T/O...in every case they realized it immediately, and had the FE start #3 on the T/O roll. No adverse yaw of course.