Preheat oven to 375 degrees
In a non-stick skillet, cook chicken over medium heat until cooked through.
Set aside and dice once cooled
In the same pan you used to cook the chicken, add broccoli and peas and sauté for 1 minute
Add 3 tsp soy sauce and cook for another 1 minute
Add diced chicken and additional 1 tsp soy sauce to pan and mix together well
Place in bowl and set aside
Return pan back to heat and add butter, cook over medium heat until melted
Add minced garlic and cook until fragrant, about 1 minute
Whisk in flour and stir until smooth
Slowly stir in chicken stock and stir to combine
Add remaining 1 tsp soy sauce and stir sauce until thickens
Pour sauce over vegetable/chicken filling and stir to combine
Pour contents into 6 ramekins. Place ramekins on foil lined baking sheet
On flour lined surface, roll out pie crust to 1/8 inch thick
Use cookie cutter to cut out 6 circles
Place each circle on top of each ramekin and press sides against ramekin dish to seal
Crack egg into small dish and add water. Beat egg and water mixture with a fork and then brush top of each pie crust with egg wash
Cut a slit into the top of each pie crust to allow steam to escape
Place in oven for 15 minutes, until crust is golden brown