Hello,
Actually, you can have multiple content rating webparts on the same page, this is not a problem. However, you need to deal with the fact that they will show the same result. It is because they share the information from the DocumentRatingValue column of the CMS_Document table.
Should you need such ratings to be independent on each other, you would need to create
custom webpart instead and save the value to another column (could be any other field in the coupled data table) using your own logic.
Best regards
Ondrej Vasil