Hello @Oliver Lennox ,
Thank you for posting here.
Not sure how you deployed the printer.
If you deployed printer similar as the following link (GPO), we can remove the user or add the user via Item-level targeting.
How to Deploy Printers to Users or Computers via Group Policy?
https://theitbros.com/deploy-printers-in-domain-group-policy/
If you deployed printer via shared printer, we can shared the printer to one group (you can add or remove the user depending on your need) instead of everyone.
Hope the infromation above is helpful.
Should you have any question or concern, please feel free to let us know.
Best Regards,
Daisy Zhou