I've never heard of a Kitchener Bind Off so I can't really help with this. Thanks a lot, huh. lol It must be some sort of BO that is done with a tapestery needle. I don't know how much it really has in common with a Kitchener stitch as I think of it which is something you do, like you said, to graft two parts together, like the toe of a sock.
If you can't figure it out, you wouldn't have to use that particular BO. There was a very recent thread where we discussed BOs for toe up socks. There is another sewn BO that some of us use that was explained there. Do a search on this site for "sewn bind off" and see if something comes up. It was just a couple of days ago. Or scroll down and look around and maybe you'll find it.
I went and found the thread I mentioned. Here is a link to it. LINK I explain it and then the last post had a link to a site with pictures and explanation of it.
Welcome to the forum.