Heat the oven to 350 F. Lightly coat a 9-inch (23-cm) square baking dish with cooking spray. In a bowl, combine the cherries and stone fruits. Sprinkle with the flour and turbinado sugar and toss gently to mix.
To make the topping, in another bowl, combine the oats, almonds, flour, turbinado sugar, cinnamon, nutmeg and salt. Whisk to blend. Stir in the oil and honey and mix until well-blended.
Spread the fruit mixture evenly in the prepared baking dish. Sprinkle the oat-almond mixture evenly over the fruit. Bake until the fruit is bubbling and the topping is lightly browned, 45 to 55 minutes. Serve warm or at room temperature.