Can a Teacher who is also the parent of a student make Parent/Teacher Reservations without creating a conflict with their student’s parents attempting to reserve time slots for the same time?

Nothing prevents a parent from making a reservation for a time slot for a parent/teacher conference with a teacher who is attempting to attend a conference for themself at the same time. You could manage this manually:

1. Determine what time slots they will be unavailable because they will be meeting with their child’s teacher.
2. Remove those time slots from their available reservation times for their teacher role.