Is there a way to copy a quiz report when you copy a quiz to another course shell?
If we got your request right, you wanted to copy a report with the results of a specific quiz.
Please note that when one course is copied to another, the main purpose of it is the creation of a different course (i.e. a different semester, or a different student group, etc.)
For this reason, it does not look like a quiz report can be copied.
You can check the Community for the Copy Course Components procedure to see what exactly can be copied.
You can also reach out to the admins of your organization, which, as it looks, is already using Brightspace.