> Where did you get the idea that it isn't possible to do so?

Not op, but the various "must use our genuine brand printer cartridges!" schemes that printer manufacturers have used over the past, oh, 2 decades might have something to do with it?

edit to clarify: I mean the cartridges with their own chips that HP et al. tried to make happen a while back

I would be cautious of saying "just fine"; third-party cartridges you buy from the first search result on Amazon are generally junk, and it takes quite a bit of research now to find one that will work acceptably.

You can jailbreak your phone too