Heat oven to 450°F. Bake pie crust as directed on box for One-Crust Baked Shell, using 9-inch glass pie plate. Cool completely on cooling rack, about 15 minutes.
Meanwhile, in 2-quart saucepan, beat 2 cups whipping cream and the cornstarch with whisk until dissolved. Beat in egg yolks and 3/4 cup sugar until blended. Cook over medium-low heat, stirring constantly, until mixture boils. Boil 1 minute, stirring constantly. Remove from heat. Stir in 3/4 cup coconut, the butter and 1 1/4 teaspoons vanilla. Pour into cooled baked shell; cover with plastic wrap, and refrigerate 15 minutes.
In chilled medium bowl, beat 1 1/2 cups whipping cream, 3 1/2 tablespoons sugar and 1 1/4 teaspoons vanilla with electric mixer on medium speed until soft peaks form. Spread whipped cream over pie; sprinkle with toasted coconut. Refrigerate until set, about 2 hours. Cover and refrigerate any remaining pie.