Honestly, there are so many products out there already that do this very sort of thing quite well (i.e.
https://www.teamwork.com and others like it) that the first thing I would wonder is if this is really something you want to build from scratch. That said, there really isn't anything you can't do with MODX, but what you're describing is far from simple, and would require a considerable amount of work. I'm sure you've though this through, but a fully bespoke product of this nature is a huge step, and I'd think long and hard, as I'm sure you probably have, whether using an existing product would get you close enough for horse shoes and hand grenades.
All that said, if a bespoke product is mandatory, for whatever reason, it could certainly be done with MODX. Depending on the details it may or may not be the best solution, but it certainly could be a solution.
