I am sure that you could do this with WordPress, but this is far from what WordPress was built to do.
Your description makes it sound like you would not be using most of WordPress. I don’t see any mention of posts, or any mention of public content at all actually. You wouldn’t need posts, pages, feeds, taxonomies, most everything.
I don’t think that the effort needed to undo what WordPress does by default and convert it into online file sharing/hosting would be worth it. You wouldn’t have much WordPress left, meaning you would have a lot of bloat and I’d expect that to result in a very inefficient system.
I doubt that “a selection of certain plugins” for doing something like what you describe would result in anything but a cobbled together mess. You’d need to make your own. That though, takes us back to point #1, that this is far from what WordPress was built to do.
Unless you have left a lot out of the description, WordPress does not sound like what you need.