LaserJet Printing

I hope an expert can answer my question? I have the above printer in my holiday flat abroad. There is no wifi connection to a public network. The  serial is VNC6J61726, service ID  22271 and still with original firmware Datecode 20101117. I want to easily print from Android devices?

The printer is not with me and I don't know if it is version CE657A or CE658A, but I brought back the config. page and there is no section showing wifi direct or its status (default off). I normally use the printer with its usb cable connected to a laptop.

As I understand it, I could get an OTG cable and print from Android with the HP app installed, or I can print over a wifi network. Wifi direct is easiest but I don't know if I could get that. To print over a network I would have to take out a spare wifi router, set the printer to manufacturer defaults then setup the wifi credentials on the router, printer and ethernet connected PC.  It's a good job i still have some gray matter and I'm not a 98 year old grandma wishing for plug and play!

My question is, if I do a firmware upgrade on this printer, will I havethe wifi direct facility or is it internal hardware dependent? I don't want to risk bricking the printer if a firmware update will do nothing for me. The flashing blue wireless led drives me mad as wireless isn't set up and to the uninitiated it looks like it's Bluetooth wanting to pair, when I'm sure that isn't the case.

Thanks - Jim