Yes! You can customize the order of your Tags for your titles in your Library so they appear the way you choose. Reordering the tags will update the order in the filtering options on the left side of the User Interface as well as the content list in the Launcher.
To reorder your tags go to the "Tags" page in the Operator Panel. Simply click on the three line icon to the left of title and drag and drop them into the desired order.
The tags in your launcher will be reordered next time you start the launcher!