Preheat the oven to 400°F (200°C).
Prepare the potato crust by peeling and grating the potatoes.
Mix the grated potatoes with olive oil, salt, and pepper in a bowl.
Press the potato mixture into the bottom and sides of a greased pie dish.
Bake the potato crust for 25 minutes or until golden brown.
While the crust is baking, prepare the filling by whisking eggs, milk, salt, and pepper in a bowl.
Stir in the halved cherry tomatoes and crumbled feta cheese into the egg mixture.
Pour the filling into the pre-baked potato crust.
Return the quiche to the oven and bake for an additional 30-35 minutes, until the filling is set and slightly puffed.
Let the quiche cool for a few minutes before slicing and serving.