Is there a way to set up access rights where resources managers can only change booking status of a resource, and only be able to view everything else, such as default allocation and ETC on a project?

There is not an access right that will allow users to edit ONLY the booking status on the Team page, and nothing else. In order for users to be able to edit the booking status, they need the Resource - Hard Book access right, but this provides access to edit more than just the booking status.