The database activity is a core plugin, so it will be available for you to use. PoodLL has a field for the database activity, however this is not core. So if you have just installed the PoodLL filter and the PoodLL Anywhere atto editor, you would need to go cap in hand to your provider and beg.
Actually a good place to put something like this is here:
If you customize the language and put a recorder on the page, you get close to what you need. But we still need the file to end up somewhere that you can link to the quiz from and check it later. (or just pretend you check it)
As i say its possible and if additional plugins are out of the question, then I suppose we could use an iframe based solution.