I don't think you'd find a way to do the actual date changes and scheduling through CP - that's far more advanced that it's intended for. If there is a way, it'll take complex Actionscripting (and likely external javascripting).
BUT if your developers can create a webpage that does this (i.e. .NET or PHP), sure, you could put that on a webserver somewhere then use a 'Web Object' in CP to import that page into an iframe so users can interact.
CP won't know what the users are doing in the iframe...but with CP you could put instructions on the page too, maybe some general callouts, and follow up with a quiz or so.