Not after ten thousand years or sosimple, chicken must come from chicken, not from dog.
Take corn. Think about a nice ear of corn. Now consider that ten thousand years ago, corn looked like a tiny hand grenade and had about ten kernels. It looked more like a stalk of grass than modern corn, and was called "teosinte." And the kernels would break your teeth if you tried to eat them. But people started to selectively breed them, and now they look like corn.
So simple. Corn came from teosinte, not corn.
Likewise, consider chickens. They came from an early animal that split off into many other animals. (Interesting fact - the closest living relative of the Tyrannosaurus Rex is the chicken.) Over the years they evolved until they became the red jungle fowl (Gallus gallus.) That still wasn't anything like a modern chicken - these were birds with small breasts, strong legs and small sizes (max about 3 pounds.) Then people started breeding them and they turned into chickens.
So chickens came from Gallus gallus, not chickens.