In short, no!
Printers need specific cartridges to work, which is why we have clear listings across the website for what ink works in any printer. You cannot just use any model/brand cartridge in a printer, even if they look the same.
There are two main reasons for this which, once you understand, make it clear why each printer has to use specific cartridges:
1: What The Ink Is Made Of
Ink is not a simple little thing, there's an incredible amount of design and technology that goes into them to make the print quality as good as it is.
Particle size, absorption rate and resistance to UV are just a few things that need to match for your prints to both look the same and even get out of the printer!
2: The Chip On The Cartridge
Nearly all cartridges now have printer chips on them, the electrical contacts you'll quickly recognise.
These communicate with the printer to tell it what the cartridge is that is installed and can pass on helpful information such as remaining ink levels.
These chips need to do a "handshake" with the printer when it is installed, so you have to ensure you have the correct cartridge with the correct chip. If that handshake fails (using the wrong cartridge) the printer will not let you print.