HP LaserJet P1102 Series not supported by MacBook Pro

The latest supported macOS version for drivers from HP appears to be 12 Monterey.

https://support.hp.com/us-en/drivers/hp-laserjet-pro-p1102-printer-series/model/4110303

An HP 5.1.1 Printer Software Update - Apple Support download from Apple has a macOS 12 limitation as well. A problem for other printer models has been that the installation does not work with the latest macOS versions. Various modifications have been suggested, but the success rate seems to be somewhat unclear.

If a compatible HP driver for macOS 15 cannot be found, or if another software solution is not possible, you may have to look for a workaround.

Linux drivers are available for the HP LaserJet Professional p1102 Printer.

https://developers.hp.com/hp-linux-imaging-and-printing/supported_devices/index

You may want to investigate whether a small Linux-based Raspberry Pi print server using CUPS possibly would allow a USB-connected HP LaserJet P1102 to be used with a modern Mac (or iPhone/iPad) on a network in an AirPrint-like way. Look upon this as an experiment.

Tesserax reported about using a Raspberry Pi 3 Model B+ for an old HP LaserJet printer.

Can I connect my laser printer to my netw… - Apple Community

Details about a Raspberry Pi print server setup (for a USB connection to a Kyocera laser printer) can be found in the posts by Techguyuk in Can’t print with iPadOS17 - Apple Community.

Dropped support for MacOS beyond MacOS 10.15 Catalina is a common issue with low-end HP printers that 'rely on software on the computer to do the imaging', commonly referred to s 'host-based rendering'. Slightly smarter network-capable printers do the imaging in the printer, and often accept postscript or the HP equivalent page-descriptor language, PCL.

It is said that HP subcontracted the production of drivers for 'host-based rendering', and when MacOS insisted on 64-bit capable software going forward from MacOS 11, they simply abandoned a huge number of Printers.

[in my opinion] The 'right thing to do' would be to modify those existing drivers to do 64-bit processing. But if HP does not have the source or the captive expertise, they may not be willing to do that.

Rather than taking care of their established customers, they have decided to "let them swing in the breeze". This is not my idea of a company that values its customers, so I do not expect to recommend or buy any more HP Printers, EVER.

Some Printers can use a more modern feature called AirPrint to print direct from Wi-Fi from any AirPrint device. I did not find your specific Printer on the list shown here:

About AirPrint - Apple Support

if this means a new printer, be sure to read MrHoffman's article for a discussion of the tradeoffs:

Which Printer Should I Buy? - Apple Community