Mix flour, shortening, and salt with fingers until a crumb mixture forms.
Then add in the cold water and mix together until well blended.
Wrap dough in plastic wrap and refrigerate for an hour so it is easier to work with.
Roll out on a floured surface and place in a 9 inch pie plate. Trim and flute the edges.
Set aside.
Pie
Add the chocolate and butter in a small saucepan. Cook and stir over low heat until smooth.
Remove from heat and add evaporated milk. Set aside.
In a large bowl combine the sugar and cornstarch. Stir in eggs, vanilla, and chocolate mixture from the saucepan. Mix together well.
Mix together 1 1/3 cups coconut and 1/2 cup chopped pecans. Mix half of this mixture into the chocolate pie filling.
Pour the chocolate pie filling into the prepared crust and sprinkle the other half of the coconut/pecan mixture on top of the pie.
Bake at 375 degrees for 42-46 minutes or until a knife inserted in the center comes out clean. Cool completely (about 4 hours).
Before serving, add the rest of the coconut and pecans to the top.
Topping
Beat the whipping cream until it thickens. Add powdered sugar and vanilla. Beat until stiff peaks form. Dollop on pie or you can spread it over the entire pie.
Notes
If you are looking for a shortcut, you could also use whipped cream from a can for the topping.