Prepare brownies: Bake brownies according to package directions and cool completely. Cut into 1-inch squares.
Prep strawberries: Hull strawberries and pat completely dry with paper towels.
Thread skewers: Alternate brownie squares, strawberries, and marshmallows on each wooden skewer, leaving handle space at the bottom.
Melt chocolate: Combine chocolate chips and coconut oil in a microwave-safe bowl. Microwave in 20-second intervals, stirring between each, until smooth (about 1 minute total).
Drizzle and set: Place kabobs on parchment-lined baking sheet. Drizzle melted chocolate over each kabob in a zigzag pattern.
Chill: Refrigerate for 10 minutes until chocolate sets. Serve immediately or store in refrigerator up to 24 hours.