If you double click a sticky/ticket the standard TFS work item editor should open. Any changes made to the work item that would make the work item show in another column will "move" it when the board refreshes.
There is a built in plug in model that could support other ways of making the board interactive.This plug in model is code based and would be specific for your process. You could of cause make this plug in non process specific but it would require lots of work.
The plug in model works like this:
When a work item is retrived from TFS work item specific behaviors can be added. Today I add the open/edit work item behavior. It is possible to add others that then could be connected in the GUI by modifying the xaml code.
Please let me know in more detail what you are looking for and I will be able to think of possible solutions.