Ability to make the bookstore private

Come to find out, our bookstore is public for all to purchase from.  I understand that maybe some schools like it to be public but I would like the ability to make my bookstore private so students need to be logged in to place an order.  I have a case right now that a student somehow ordered without being logged in.  Now his books do not show on his account and it will not show in his 1098T next year without me adjusting it.