Not a printer I know...
"HP is committed to engineering the most secure printers in the world."
But I once had a HP scanner, something along the lines of a HP Scanjet 4370 Photo Scanner.
I can't remember the exact model number but a google search for that model looks similar to the one I had.
I bought it when XP was near end of life and as an early adopter of Win 7 I found the drivers (or any of their 'feature' software no longer worked under the new operating system.
It is a long time ago I know, but their website clearly stated there would be no updates and Win 7 was not supported for the rather expensive scanner I had recently bought.
I worked around it by using the TWAIN interface in IrfanView, which I have donated to.
I'm still an IrfanView user, I am no longer a HP user/purchaser.