Hi Curt
This isn't possible at the moment. You can create the activity or resource outside and add hyperlinks to them into the page.
If you put the activity in a hidden section and make the activity visible then the link still works.
Richard
There is a contributed module called the sub page module from the OU - see here http://www.moodleblog.net/2012/01/14/sub-page-module-yet-another-way-to-avoid-the-moodle-scroll-of-death/