@aeva @rygorous Ah yeah, I that someone who mentioned they managed to print with an inkjet, but noted the ink took a while to dry. I'm willing to bet that it would still rub off after a little handling, unless they added a sealant of some kind afterward.
You might search for printer by supported paper size (*not* by raw dimensions) that's closer to the size of those cards. You might need to look up the manuals of a printer you're considering. There are absolutely printers that can go down to A5 or even A6 size, but poker cards are a between A7 and A8, which is going to be much harder to find.