Fit piecrust into a 9-inch pie plate according to package directions. Fold edges under, and crimp.
Whisk together eggs and next 6 ingredients until thoroughly blended. Stir in pecans and coconut. Pour mixture into piecrust; place pie on a baking sheet.
Bake at 350° on lowest oven rack 50 minutes or until pie is set. Cool on a wire rack 1 hour or until completely cool.