That's quite possible. As soon as you have added your items to the checkout, you will be asked to enter your billing address. Then you have the possibility to enter a different delivery address.
For example, if you want to surprise someone, this is a great option. On the delivery note which is in the package, also only the delivery address is visible, so the surprise is perfect.
Please note that if you buy on account after completing the order no changes to the billing or delivery address can be made. In this case you would have to cancel the order and place it again.