Lightly coat the inside of a 13 by 9 by 2-inch metal pan with oil and set aside. Preheat the oven to 425 degrees F.
Spread the brown puffed rice evenly on a sheet pan. Toast in the oven for 4 minutes, stirring occasionally. While the rice is toasting, prepare the marshmallow mixture.
Place the oil, honey, and marshmallows in a large mixing bowl set over a pot of gently simmering water. Stir until the marshmallows are melted, approximately 4 to 5 minutes. Once the marshmallows are melted, quickly add the toasted brown rice, almonds, and fruit and stir to combine. Coat your hands or a spatula with oil and spread the mixture evenly into the pan. Once the mixture has cooled completely, cut into squares and store in an airtight container for 1 to 2 days.