It needs HPLIP 3.212, so looks like it won't work with CUPS, unless you talk nicely to Paul. It might work with an older postscript driver, which might not give you access to all the features. AFAICT wireless printers generally work ok -the other Pete has experience of this. My printer is a cheapo USB-only HP all-in-one for which printing with CUPS has sometimes worked, and scanning has sometimes worked, but never both at once.
Pete