Heat olive oil in a large skillet over medium heat.
Add the diced chicken breasts and season with salt and pepper.
Stir in the onions and garlic, cooking until softened.
Add the carrots and cook for another 5 minutes.
Sprinkle flour over the mixture and stir to coat.
Pour in chicken broth and heavy cream, stirring continuously.
Stir in peas and thyme, adjusting seasoning as needed.
Preheat your oven to 400°F (200°C).
Spoon the chicken mixture into the skillet and arrange the biscuit dough on top.
Bake in the preheated oven for 20-25 minutes or until biscuits are golden.
Let it cool slightly before serving.