How to add a "landing page" inbetween one page and another

Hi, I apologise in advance if I get any terminology or phrasing wrong.

Basically, I want my users to have to be on one page, click to advance, then have to complete some kind of mini game or challenge before the next screen will load. Is it possible to do this? What would I need? I have already created a Flash game using Stencyl that it would be cool if I could use. If that isn’t possible, if anyone has possible alternates/suggestions I’d really appreciate hearing them. I’m just hitting a brick wall trying to figure it out