Make the crust: Crush the graham crackers by pulsing in a food processor, or place them in a large zip-top bag and use a rolling pin to crush into fine crumbs.
Transfer the graham cracker crumbs to a medium bowl and add the shredded coconut. Mix to combine, then add the melted butter. Stir until the mixture has the texture of wet sand.
Grease an 11-inch (28 cm) tart pan with nonstick spray. Pour the graham cracker mixture into the pan, then use a measuring cup to press the mixture around the pan in an even layer.
Make the filling: In a large bowl, whip the cream cheese with an electric hand mixer or fork until smooth. Add the powdered sugar, lime zest, lime juice, vanilla, and heavy cream and continue to whip until stiff peaks form.
Spread the filling over the crust, smoothing the top with a spatula, then freeze for 30 minutes.
Remove the cheesecake from the freezer and unmold. Insert 8 popsicle sticks through the sides of the crust, spacing evenly.
Decorate the top of the tart with whipped cream and key lime zest.