You'll need to be more specific to what you want done. But in general, you'd want to have two tables, one for the source from which listbox-1 will be populated, then on the dbl-click (or through a button between the two listboxes, like the 'add' and 'remove' buttons you see on many to/from listboxes) you run the sql to insert data into the table that is the source of the second listbox, and refresh the box.
This assumes that the data is to be somewhat permanent, but like I said, you'll need to go deeper into detail on what you're trying to accomplish.
--Jim