There is a pin for AMC 8. From the linked site - "School Winner Pin, AMC 8 - Given to the student in each school with the highest score"

It would only take a perfect score if there was someone else at the same school with a perfect score. In the latest AMC8 there were 268 perfect scores. There were 1851 team scores, so students from at least that many schools, plus schools with individual test takers but not teams.

Example - pin for high score at DD12's middle school went to an 8th grader with a 22. If she had scored a 23, she would have won the school pin