I'm going to say no. The Cooks mixer does not have the screw on the side of the port you plug/insert the attachments into that the Kitchenaid does. With a Kitchenaid, you insert the attachment and tighten down this thumb screw.

Apparently, the Cooks uses a spring type catch to hold their attachments in and the shaft from the Kitchenaid probably won't have the "grooves" in it for that catch to grab hold of. And depending on the model, it doesn't appear that the mixer has that attachment port on the front either. That's a big issue; if you don't have a place to "plug" the attachment in, it's certainly not going to work.

And I would question if the Cook's mixer actually has enough "power" to run it. And I have not been able to locate any attachments (but a lot of bad reviews) for the Cook's mixer so I question if the unit is even capable of it.

Try it if you insist but I'll bet it's not going to work.