No! It wouldn't be accepted, you have to have a 4 year degree, I believe there is a law for Teachers that have a teachers license and a 2 year degree might be accepted. But a 2 degree in culinary wouldn't do it. You can try to get away with it, no harm in applying. Just make sure you have TEFL or better to add in. 

I met a guy working at a bar im Shanghai who had a degree in Hospitality. Here I was thinking that Sociology and Communications degrees were a waste of time but no, you can get a degree on how to make a mocha latte.

The word 'degree' has a particular meaning - and it means "something above a Diploma". Ie, university level...

So, if your Culinary thing is a Bachelor degree, technically, you'll be fine! (in Australia, many of our bachelor degrees only take 3 years! I suppose it's cos we're smarter and have better education :D)

If your piece of paper says "Diploma", you're SOL!

https://www.nationalreview.com/2018/08/employers-stop-requiring-college-degrees-that-arent-needed/

Well this should shake up the overpriced liberal elite privileged education cartel. Good riddance anyway.