Hi Gerald,
Hoping that I understood correctly your scenario I'd suggest the following:
– use a session (let's call it Session1) to filter and display the data in the qChartView
– set the drill down configuration that points to a page that contains a qListView. The drill down link passes a parameter in the URL. Use this URL parameter to filter the data in the qListView along with the data stored in Session1 to filter the data using CAML filter property
Please let me know how this goes.