Yes, but a quad can still fly after a rotor failure, albeit that it needs pretty clever software and I wouldn't want to be sitting in one.
It's also not
quite that simple for a heli, due to the autorotation manoeuvre. Simply put, detach rotors from a dead engine, put heli in a dive and feed back blade pitch to get the rotors spinning, rather like wind powering a windmill, only (hopefully) a lot faster. Then, right at the last moment, flare out and use the energy stored in the spinning blades to slow your descent.
Of course, flare too soon and you run out of effective blade lift before you run out of altitude, and flare too late and you run out of altitude before you run out of downward velocity. I.e. splat.
Whether that'd work on that weird oct/quad or not would depend, I'd think, on what the failure was, and what the machine's engineering is. If the rotor blades are directly electric powered, then I can't see any way to do that. But similarly, autorotation might work, or help, for an engine failure in a heli, but if the failure is linkages, or worse, a rotor fell off, then ...