You can check if the printer is present from the perspective of cups by visiting localhost:631 in your browser in the offline qube or by executing lpstat -p -d.
Your printer might be just sitting there waiting to be configured.
To do it via the admin web interface you will need to follow solution to this post:
Also, as far as I know HP printers have open-source drivers - hplip. These drivers are present in both fedora and debian repositories.