Nobody would buy black ink anymore. You can try shaking or tapping the empty cartridge against something and putting it back in. It's a "Hail Mary" but I've seen it work.
I think most printers won't allow this, there's some way they can tell whether it's the "correct" color cartridge or not that you're inserting. Maybe you can change the color of the text in the document itself and try printing it that way?
I can only think to try it--trouble is, at least with the printers I use, I have this feeling that they even use a bit of each color ink every time you print just to keep the print heads clear of dried ink.