Dark matter interacts with ordinary matter (and ordinary energy) via gravity (G), but not via electromagnetism (E), the strong nuclear force (S), or the weak nuclear force (W). But is totally dark matter that does not interact with ordinary matter (and ordinary energy) at all, not even via gravity (G), possible or impossible? If totally dark matter is possible, could there be other Universes with their own sets of forces (G´, E´, S´, W´), (G´´, E´´, S´´, W´´), etc., coexistent with our own (G, E, S, W) Universe, with each such Universe (including our own) interacting within itself but not with the other Universes? Is this a possible or impossible aspect of the Multiverse?