EK380:
In spite of Vmcg and Vmca, taking off on a single engine would be possible - just do not start right away with full thrust, but with the amount that leaves enough control power to stay on the centerline. As speed increases, so does control power and so you gradually push up the thrust. Guaranteed to work. Needed runway length would be surprisingly short - no need to consider accelerate-stop distance if you begin the run with one engine already failed?
Off course, whether it would be advisable to start a flight on a twin with one engine out is a completely different matter.