You've probably already tried this, but...
1. Turn the printer on, let it "idle" (don't try to print)
2. Go to system preferences/printers & scanners
3. Does the printer show up? (I'll assume it DOES NOT)
4. If it doesn't show up, what happens if you click the "+" (lower left) to "add" a printer?
Does it "go looking for" drivers?
Is this an older printer?
It's possible HP isn't going to issue a new driver for it.
There are "generic" print drivers out there.
It's a long shot, but it's possible one might work.