Preheat oven to 400 degrees. Place pie crust in a pie tin. Fold edges of crust around the pie tin and flute, if desired. Poke bottom of crust with a fork a few times so it doesn't bubble during baking. Bake in preheated oven for 10 minutes until golden. Remove and cool completely.
Spread hot fudge sauce in the bottom of the pie crust. Reserve 2 tablespoons of hot fudge for drizzling.
Place chocolate chips in a microwave-safe bowl and microwave until melted, about 60-90 seconds.
Add melted chocolate chips, cream cheese, and whipping cream together in a stand mixer. Beat until thick and fluffy, about 3-5 minutes.
Spoon chocolate mixture into the pie crust, atop the hot fudge layer.
Drizzle caramel over the chocolate mixture, reserving 2 tablespoons of the caramel sauce for drizzling on top of the pie.
Spoon whipped topping over the caramel sauce. Use a spatula to create decorative peaks. Drizzle extra hot fudge sauce and caramel sauce on top. Sprinkle with toffee bits and peanut butter cups.
Place pie in freezer for 30-60 minutes to set it up quickly before serving. Enjoy!