Using the pen tool I have drawn several closed paths. Creating a single path layer. I would like to copy just one of the paths to another layer without duplicating the mask and deleting the other paths. Is this possible?
You've got some terms-mixing going on there, so I'm not certain I fully understand what you're trying to achieve.
Paths are not tied to Layers, nor do they intrinsically define a Mask.
The Paths panel will "list" separate "work paths." To copy from one work path to another, use the Path Selection Tool to select the desired path component(s), copy using Cmd/Ctrl+C. Then switch to another work path or create a new, empty one by clicking the New Path icon at the bottom of the Paths Panel, then paste using Cmd/Ctrl+V.
To leverage an existing path on a different layer, simply target that layer with the path in an active state.
All of the vim with none of that annoying vigor.