Yes, you can if you are running V5R4 You have an option to save spool data when do a full system save
(option 21). Then you can restore it.
Also, as of V5R4, the SAVLIB and SAVOBJ commands have a new parameter, Spooled file data. There are 2 options, *NONE and *ALL. *NONE is obvious, *ALL For each output queue that is saved, all available spooled file data on the output queue is saved.
Hope this helps,