Yes, it is possible to show the name of the first participant to a booking in the bookings preview of a class/tour, that is when you click on a class/tour in your calendar to see all its booking.
1. Go to Settings>Booking Preferences
2. In the Booking Title section, from the Booking Title drop-down menu, select if you want to:
- show the name of the first participant (if available), or
- show the name of the customer