Will dumping your kitchen wast in a hole in the garden act as compost?

I have done compost trenching which is the same thing, I guess. Only I do it over the winter time and come spring I had soft fine compost in the soil. So it worked for me!

What kitchen waste? Not everything will decompose.

Absolutely - if you're using the right things! It's called Direct Composting by the source I use (GardenUpGreen.com) Anything you would normally and safely compost can be buried right into your garden with growing plants or while the garden is resting. It's good stuff for your garden and the only way I compost now!

I put everything in my compost pile except meat and bones.

Yes, as long as you're careful to put in things that are able to be composted - make sure you don't put any trash in there, or bones, by accident! You could have two trash cans in the kitchen and just bring it out daily.

yes, it is called direct composting

It sure will--- and is far better than dumping your waste in the garbage. As others pointed out, be sure it's veggies/ eggshells/ etc... ONLY things that do compose (check out the internet for a list if unsure). Your earthworms will love you as they further fertilize your garden!!