Mix flour, olive oil, egg yolk, salt, and water to form a dough. Cover and let it rest for one hour.
Divide the dough into four equal pieces, roll out thinly, and pre-bake in a preheated oven at 160 °C (320 °F) convection for 8 minutes. Then increase the oven temperature to 250 °C (480 °F).
Season crème fraîche with salt and pepper, and spread thinly onto the pre-baked tart bases.
Trim the pointed end of the figs and use the FLEXICUT vegetable and fruit slicer to divide them into quarters. Spread figs, goat cheese, honey, and Parma ham onto the tart bases and bake in the oven for about 10 minutes.
Pluck the thyme leaves and sprinkle them over the hot tarts.