Assign multiple tags to a single View?

Is it possible to assign multiple "View tags" to a single view? I make extensive use of the View tags to manage a large list (e.g., to see only Views tagged with "Columns"), but it would be great if I could also choose to filter the list more narrowly (e.g., filter by "Left" to see only Views that are tagged with "Left" but might also be tagged with "Columns").