Assuming that your Note 5 and your HP printer are both connected to your home network, it sounds like there's something going one where your Note just isn't detecting there's a printer. Install this Fing networking utility on your Note 5 and just do a basic scan so it reads all the devices that are connected.
https://play.google.com/store/apps/details?id=com.overlook.android.fing&hl=en
Your router, any computers, and whatever other gadgets you have should show up (as long as they're actually turned on of course) but more importantly in this instance your HP printer should be in the list. If not than you just need to reconfigure your printer to get back on your home network but if so, the first thing to always try is just reboot your router, or modem/router if it's one of those carrier-supplied boxes. If your Note 5 still isn't seeing your printer, you might want to try manually assigning your printer a fixed IP address in your router's setup menu. What kind of router, or modem/router, do you have?