That didn't entirely answer it.
You can make personal Discords (I have one) which behave otherwise just like the rest of the Discords--you can do sub-boards and so on if you're really of a mood, you can have text channels and sound channels, and so on.
And then there's the private messaging function, which I gather can be extended to multiple users (I've never done so, but that's neither here nor there).
Are you talking about the first or second? The information I had seemed to say you could do it with the second but not the first, and I don't want to tell people that if it's not true (but I also can't see any obvious way to do it on a basic Discord channel).