With the "core" DNN modules you'd have to manually create some sort of report/chart.  The REPORT module might be of help but your time/money is probably better spent on a ready-made solution like InfoMap ($40):

   http://www.snowcovered.com/Snowcovered2/Default.aspx?tabid=242&PackageID=8673

Here is a sample orgchart as well as a brief tutorial on creating an org chart using InfoMap:

   http://dnnjungle.vmasanas.net/MyModules/Modules/InfoMap/Sample4OrgChart/tabid/115/Default.aspx

 
-mamlin

Hhhmmm....barring a ready-made module that matched your needs, I'd lean towards using an existing (free) module to pass org data to the client page and leveraging an existing (free) library for client-side rendering.  You could do it all server-side but that would likely require writing your own module.

Example:  If you wrote a query (or stored procedure) that returned your org chart in node form (such as XML) it would be fairly simple to apply a free javascript-based chart generator such as the one here:  http://www.xcdsql.org/Misc/orgchart/02/orgchart.html

You would use a module such as the REPORT module to grab the org chart data via the SQL query.  The data would be loaded in the client page but hidden from the user (an XML "data island").  The javascript chart generator would be called after the page was completely loaded to insure the REPORT module had completed the query of the data.  
 
One way to insure that javascript does not run until the DNN page is fully loaded is detailed here:  
 
     http://www.eguanasolutions.com/DNN_Blog/EntryID/4.aspx
 

Hope that gives you some ideas for other potential solutions.  Please post back if you determine a viable solution.

-mamlin