Preheat your oven to 350°F (175°C).
Grease and line an 8x8-inch baking dish with parchment paper.
In a large bowl, whisk together the flour, light brown sugar, baking powder, baking soda, salt, ground cinnamon, and ground nutmeg.
In another bowl, mix the dairy-free yogurt, plant-based milk, melted coconut oil, and vanilla extract until smooth.
Add the wet ingredients to the dry ingredients, mixing until just combined.
Fold in the diced peaches and peach jam.
Pour the batter into the prepared baking dish and spread it evenly.