Hello, Henry Gammone
Welcome to Microsoft Community
Thanks for your feedback. I read the information you provided. You mentioned that you cannot print files using your HP Chromebook connected to an HP printer.
I understand your problem and I hope to solve your problem, but since your problem is related to HP printers, it is beyond the scope of Microsoft forums. In the current situation, I suggest that you can feedback your problem to HP technical support staff, who will provide you with more professional help. You can click the link below to submit your question.
Disclaimer: Microsoft does not provide any implied or other guarantees and/or warranties and is not responsible for the information you obtain from third-party linked websites or any technology-related support.
We hope that your problem can be properly solved in the right department. Thank you for your understanding.
Best regards
Brian - Microsoft Community Support Specialist