Preheat the oven to 350 degrees F. Line a 9×13-inch pan with parchment paper and spray lightly with nonstick spray.
In the bowl of a food processor, pulse the flour, butter, brown sugar, granulated sugar, salt, and cinnamon until mixture resembles coarse meal, about 4 to 6 pulses. (If you don’t have a food processor, you can use a pastry blender to blend this together.)
Transfer flour mixture to bowl and stir in coconut and oats. Reserve ¾ cup flour-coconut mixture and set aside. Pour remaining flour-coconut mixture into the prepared pan and press into an even layer. Bake until lightly golden, about 15 to 18 minutes. Let the crust cool in a pan on a wire rack for 10 minutes.
Carefully spread jam over warm crust. Sprinkle jam with the white and milk chocolate chips. Sprinkle reserved flour-coconut mixture evenly over the top. Bake until top is golden brown; about 18 to 22 minutes.
Let bars cool completely in the pan, for about 1 hour. Using the parchment paper, remove bars from the pan. Cut into bars. Serve and enjoy!