Heat the olive oil in a medium pot over medium heat.
Add the diced onion, carrots, and celery, sautéing until the vegetables are fragrant and soft.
Stir in the diced chicken breast, sea salt, black pepper, and dried thyme, cooking until the chicken is lightly browned.
Pour in the chicken broth and bring the mixture to a gentle simmer.
In a small mixing bowl, combine the oat flour, baking powder, and Greek yogurt to create a soft dough.
Stir the coconut milk into the pot to create a rich and creamy base.
Drop small spoonfuls of the dumpling dough onto the surface of the simmering broth.
Cover the pot with a tight-fitting lid and steam for 10 minutes until the dumplings are fluffy and cooked through.
Ladle the stew into bowls and garnish with fresh parsley.