Pogotown,
HP Connected and Microsoft OneDrive are not the same. They are separate services from separate companies.
Make sure all the files you want saved are in your OneDrive account.
Then for peace of mind, I would go to the HP Connected settings and cancel the link between the two services.
Your OneDrive account from Microsoft will continue to work.
You know you should also have a physical backup of your files on an external drive or create another account on another service for a 2nd backup just for safety. One copy is not a copy if you cant access it and accidents can happen even on servers.