To a sauce pot, add 2 cups blackberries and 1 ½ cups water. Bring to a boil and reduce to a gentle boil. As the blackberries break down, smash them with the back of a wooden spoon. This process may take 10-15 minutes. Once the mix is tender, run it through a fine-mesh strainer, using the back of a ladle to press all of the liquid out of the pulp. Add the liquid back into the sauce pan (discard the pulp) and bring to a simmer, adding the remaining blackberries. Add the honey and simmer until the blackberries break down, again smashing with the back of a spoon. Place the mix in a jar with a lid in the fridge and let sit overnight.
Make the S'mores
Place one of the dark chocolate squares on a graham cracker. Toast a marshmallow to your liking, then place on top of the chocolate. Top with a spoonful of the blackberry compote followed by another graham cracker square. Enjoy!