Absolutely! If I remade it, I would turn it into a pillow. If you want it as a pillow case with an insert you can just follow the video, otherwise, you could skip the back fold over bits and have the back being one solid piece like the front, stuff it and sew it up completely :) the second option would be harder to wash and dry, but the option is there. Best of luck!
Sorry what I mean't was do you really need the white felt for the backing of the cookie cat face if you're stuffing it or no? Also is the white felt used to make the plushie neater? Should I or should I not use the white felt backing?