Yes, that's possible. With our constellation offer, you can name specific stars, too. You can not only enter a constellation but can also enter specific descriptions like "Left star of Orion's belt", for example.
Another option would be to look up the HIP number of the specific star. You can also check the night sky at the star gazing 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:
Instead of a constellation name you then just enter the HIP number in the order form of our constellation offer. We will then pick this specific star for you.