Unfortunately, not at the moment.
However, you can create private classes or subscriptions and offer them to specific groups of your choosing.
You can refer to the following articles for instructions on how to create hidden classes and subscriptions:
Scheduling Classes: https://help.moxie.xyz/en/articles/4054138-scheduling-classes
Creating Subscriptions: https://help.moxie.xyz/en/articles/4070267-how-do-i-create-subscription-types-and-tiers
If you have ideas or feedback on how you would like to see this functionality, please drop us a line at firstname.lastname@example.org