Yes, that's possible. With our constellation offer, you can name specific stars, too. You can not only pick a constellation of your choice but can also let us pick a visible constellation for your delivery country.
Another option would be to look up the specific HIP number of the star you want to name. You can check the night sky by yourself at the stargazing software Stellarium (https://software.star-register.com/) and click on the star you want to name. It will then show you the HIP number of the star:
During the purchase you'll get three options: