I do not know of anyone doing it for HP ink, but there is, or was, companies doing it for eco-sol carts etc. When you look at an HP ink cart over some of those old eco-sol carts. there must be more value in the HP ink over those old carts.
Might be worth contacting HP. Hybrid exchange empties for free carts on Mimaki printers, and Epson will send a box for your empties, but they don’t give you anything for them. At least they are getting recycled properly though.