This would be a very complicated pattern. It's got a combination of argyle and cats both of which are pretty detailed. I don't know of of a pattern like that.
I think that once you have it charted out, it'll just be a matter of paying attention to the chart. A wrong stitch here and there for the cats won't matter but the argyle should be more precise. The pattern will mostly be intarsia with small areas of fair isle, definitely do-able.
When I read the title of this thread, I thought you were making a cat coat similar to a dog coat, and frankly, I can't imagine any cat on Earth wearing such a thing!
Obviously, my thinking was off, but I'm willing to bet that once made, this sweater will get much more wear from a person than a cat sweater/coat would get from a cat!