Preheat the oven to 350 degrees F (175 degrees C). Grease a 10x7-inch glass pan.
Combine coconut jam, brown sugar, vegan butter, and golden syrup in a saucepan over medium-low heat. Cook until melted together, about 3 minutes.
Meanwhile, pulse oats in a food processor until finely ground.
Add ground oats to the melted jam-sugar mixture; stir until coated. Spread mixture in the prepared pan. Sprinkle coconut flakes on top and press down.
Bake in the preheated oven until cooked through, about 10 minutes. Remove from the oven and let cool completely, about 30 minutes, before cutting into 36 squares.