Preheat the oven to 400 degrees and line a baking sheet with parchment paper.
Unroll both pie crusts on a lightly floured surface and cut each into two circles about 5 inches wide.
In a mixing bowl, combine the diced apples, caramel sauce, cinnamon, and sugar until the apples are evenly coated.
Place one quarter of the apple mixture in the center of each dough circle.
Fold each circle in half to form a half-moon shape and crimp the edges with a fork to seal.
In a small bowl, whisk the egg with the water to make an egg wash.
Brush the top of each hand pie with the egg wash.
Cut two small slits in the top of each pie for steam to escape.
Bake for 18 to 20 minutes until the crust turns golden brown.
Remove from the oven and let the pies cool on the sheet for 5 minutes before serving.