In a large bowl, combine coconut oil and brown sugar with a hand mixer on medium speed until fluffy and incorporated, 3-4 minutes. Add vanilla and mix thoroughly. Add flour, baking soda, and salt and mix on low speed until crumbly. Add milk a little at a time until desired consistency is reached. Fold in chocolate chips.
Break graham crackers into squares. Top with heaping spoonfuls of cookie dough. If desired, sprinkle with more mini chocolate chips.