Preheat oven to 350 degrees. Process 3/4 cup pine nuts, the sugar, almond paste, and vanilla in a food processor until fine crumbs form. Add egg; pulse to combine. Add flour, baking powder, and salt; process just until dough comes together.
Roll dough into 3/4-inch balls. Roll balls in remaining 1 1/4 cups pine nuts, gently pressing to coat. Space 2 inches apart on parchment-lined baking sheets.
Bake until cookies begin to turn golden brown, about 20 minutes. Let cool completely on sheets on wire racks.