I remember I once read an erowid experience where someone wrote that he (or she?) drank Ayahuasca with 2 more friends, and they DID went to the same "place/planet/space" and they played and flew together in another dimension. Actually, before posting this message I tried to find the experience so I could link and quote it but couldn't find it. Apparently, they weren't precisely expecting that to happen, and yes, they were in the same room (on this planet).
In any case, I suspect that these kind of experiences could be possible, but I think that maybe it could happen more easily on Ayahuasca than on vaporized DMT? I don't really have any reference to claim that it is or is not possible, but from what I've read, this has happened with Ayahuasca (even unintentionally)... so my guess is that if there are, for example 2 or 5 people, in an Ayahuasca session and with the intention to interact in another dimension at the same time (like that Animatrix film where they even connect a monkey and a machine) maybe they could do it, and with practice, maybe they could perfect the technique.
My intuition tells me that there is SO MUCH potential and psychic things and abilities that could be done with intention and practice, both for individuals and for groups. I don't know, I seriously think that if it is possible to do such things (go together to another dimension at the same time), Ayahuasca would definitely be one of the list... and maybe Changa even more than freebase DMT alone.
Practice makes perfect.