Is this possible?
It is complicated and a lot of trouble. The Apple Print Products store ships the books only in the country of the store where you ordered the book. You would have to order the book from the Print Products Store in the home country of your friend. To do that you need an AppleID with this country as the billing address and a banking account and credit card valid in that country to use as the payment method for that other AppleID. Then set up this country in the Photos Preferences > Print Product Store and the account information in Photos > Print Products Store Account and order the book.
It will be much easier to have the book send to your home address, so you can check the quality and then forward it to your friend or send it back to Apple, if you are not satisfied.