Have inscribing people not see who already inscribed. Anonymize or something similar

In my institution we set up a Moodle course, inscribed students groupwise and created scheduler for the group's teachers.

The teacher use the schedulers to set up dates to see their students for student counselling meetings.

Now the use case has risen: can I prevent the students to see who else has booked a meeting? I don't want to disclose what other students I am giving student counseling to.