I would like to use BMW Motorrad CarData, but not ConnectedRide. Is that possible?

Unfortunately not, as BMW Motorrad CarData is a service based on ConnectedRide. The use of BMW Motorrad CarData requires an active BMW ConnectedRide contract. You usually have such a contract if your vehicle already has Teleservices. You do not need to book any other ConnectedRide services in order to use CarData.