Yes, I believe that you can. You will need to change the Owner/Group/Permissions to allow BOTH users to READ/WRITE/EXECUTE to the address book file (and its parent folder if it also not otherwise accessable to the other user -- otherwise they have no way of getting to it). If "Show Info" cannot solve your problems (it doesn't allow you to change Owners, for example), try "Super Get Info" or "XRay" (my new favorite).
Cheers!