Well, the default asp controls, doesn't have client-side API, so it will be pretty hard to achieve such a scenario.
And one can say that it's not even the easiest thing if you implement drag and drop between controls that have client-side js object representation.
My suggestion is - if you need a similar to listView control - use ours (RadListView)!
Also there is a sample for drag and drop with listView: http://demos.telerik.com/aspnet-ajax/listview/examples/itemdragdrop/defaultcs.aspx
Hope this is going to help you!
the Telerik team
Do you want to have your say when we set our development plans?
Do you want to know when a feature you care about is added or when a bug fixed?
Telerik Public Issue Tracking
system and vote to affect the priority of the items