Preheat oven to 350F.
In a large bowl, mix together the flour, cocoa powder, and sugar. Then, use your fingers to pinch in the extra virgin olive oil until it forms a crumb-like texture.
Add in the ice-cold water, a tablespoon at a time. Knead the dough with your hands until it is smooth. Wrap tightly in saran wrap to sit for 30 minutes in the refrigerator.
Roll out the dough inbetween two large pieces of parchment paper until 1/8" to 1/16" thick, depending on your preferences. Place the dough over a greased pie pan and gently press it into the pie pan. Trim off any remaining dough.
Bake for 25-30 minutes. Check halfway to make sure the edges are not burning.