Line a baking sheet with waxed paper; set aside.
Melt white chocolate in a heat-proof bowl over simmering water; stir occasionally. Remove bowl; mix in oil. Drop 1 tablespoon of mixture onto prepared baking sheet. Use the back of a teaspoon to quickly spread into a ghost. Place a lollipop stick at the base, spinning to coat. Add chocolate chip eyes. Refrigerate ghosts 5 minutes, then peel off.