Heat the ghee in a medium pot over medium heat.
Add the diced onion, carrots, and celery, sautéing until the vegetables are slightly softened.
Pour in the chicken broth, dried thyme, sea salt, and black pepper, then bring the mixture to a gentle simmer.
Add the diced chicken breast to the simmering broth.
In a small bowl, whisk together the whole wheat flour and baking powder.
Stir in the Greek yogurt and 1-2 tablespoons of the warm broth until a thick, tacky dough forms.
Drop small spoonfuls of the dough onto the surface of the simmering soup.
Cover the pot tightly with a lid and simmer for 12-15 minutes without lifting the lid, allowing the dumplings to steam until fluffy.
Garnish with fresh parsley before serving.