It might just be possible ... sort of.  Except maybe the "free" part of it - tell him not to be stingy. 
 
Publish (best not to make any preview available).  Buy the book and gift it.  
Unpublish.
As they say 
here, once a book has been published it cannot be deleted; I believe that is because Amazon will keep the old edition on their servers for those people that purchased.  (I know an early edition of my first novel, from before I went direct with Amazon, is still available to those that purchased that despite it no longer being available to purchase.)
There will be a short period in which the book will be available to the public, but unless the person's name is Stephen King or Stephenie Meyer*, the chances of making a sale (especially if you price the book appropriately) should be slim.
* putting these two names up together is just having a bit of fun with Mr King 