Is it legal to hunt Wild Dogs?

It just depends on where your at, why you want to hunt it, etc.

it's preferred you didn't if you didn't have an absolute reason, or if it is someones pet.

If the dog is killing your animals or trying to hurt you or others, yes.

BUT: Please consider that if this is someone pet, killing it can possibly result in legal actions being taken

You could also ask your local government about it