Combine cream cheese, cocoa powder, and powdered sugar until thoroughly blended.
Thaw 2 sheets of puff pastry on a parchment lined sheet tray in refrigerator. Gently roll to stretch dough out by about 1 inch on all sides. Prick all over with a fork, then cut each sheet into 6 equal pieces.
Transfer each piece to another parchment lined sheet tray. Spread equal amounts of chocolate cream cheese on each of the 12 pieces. Place sliced strawberries decoratively on top of the cream cheese, and sprinkle with white chocolate chips. Gently roll the edges of each of the pastry pieces in towards the center.
Bake until pastry is golden brown, approximately 25 minutes. Cool to room temperature.
Whisk together powdered sugar, cocoa powder, and milk until a drizzle consistency. Drizzle gently over hand pies. Let set for 10 minutes and serve.
