List transfer to another List

Can this be done?
List A >> selected item/s transfer >> List B
List A << selected item/s transfer << List B

@hanstel What is a use case?

a service-oriented project consists of multiple SOs but invoice based on project, only those fulfilled items will be included. we figure to present the users an itemized breakdown of items of a project and let them mark or move selected items to another list to separate items to be invoiced.

LIST A LIST B
SO123 Item 3 >> SO120 Item 1
SO123 Item 4 SO121 Item 2