Can students buy student tickets when traveling by train?

You can't buy a student ticket in this case.

You can't buy a student ticket when you travel. The student ticket must be between the school location and the family residence. If the school and family live in the same city, you can't buy a student ticket.

If you want to buy a student ticket, you can only buy it during the summer vacation June1-September 30th or the winter vacation February1-March 3rd1.