Preheat the oven to 400°F.
In a large skillet, heat the olive oil over medium heat.
Add the shredded chicken, frozen mixed vegetables, garlic powder, onion powder, thyme, salt, and pepper. Stir to combine and cook for about 5 minutes until heated through.
Sprinkle the flour over the mixture and stir well to coat.
Slowly pour in the chicken broth and heavy cream, stirring constantly until the mixture thickens, about 3-5 minutes. Remove from heat and let cool slightly.
Roll out the pie crusts on a lightly floured surface. Cut out circles using a 4-inch round cutter.
Place a tablespoon of the chicken mixture in the center of each circle.
Fold the dough over to create a half-moon shape and crimp the edges with a fork to seal.
Place the hand pies on a baking sheet lined with parchment paper.
Brush the tops with the beaten egg for a golden finish.
Bake for 20-25 minutes or until golden brown.
Let the hand pies cool for a few minutes before serving.