Beat the peanut butter, softened butter, and vanilla extract in a bowl until smooth. Slowly add in the powdered sugar while stirring.
Mix in the graham cracker crumbs and crushed Butterfinger candy bars until evenly combined.
Scoop out about 1 to 1 1/2 tablespoons of the mixture, roll into smooth balls, and place on a parchment-lined tray. Chill in the freezer for 30 minutes.
In a microwave-safe bowl, combine the chocolate chips and vegetable oil. Microwave at 50% power in 30-second intervals, stirring between each until smooth. If necessary, add another 1/2 teaspoon of vegetable oil to achieve a dippable consistency.
Dip each chilled ball into the melted chocolate, letting excess drip off, then return to the parchment-lined tray. Allow the chocolate to set at room temperature or in the refrigerator before serving.