Preheat your oven to 400°F and line two baking sheets with parchment paper.
Unfold the puff pastry sheets and cut each into 12 squares (about 2x2 inches). Place them on the prepared baking sheets.
Using a fork, prick the center of each square a few times, leaving about ¼-inch border around the edges. Brush the borders with the beaten egg.
Bake for 12-15 minutes until the pastry is golden and puffed. Remove from oven and gently press down the centers if they've puffed up too much.
Spread about 1 teaspoon of goat cheese in the center of each tart, then top with a small dollop of fig jam.
Return to oven for 3-4 minutes just to warm the toppings. Remove and drizzle with honey, sprinkle with nuts, fresh thyme, and a tiny crack of black pepper.
Serve warm or at room temperature. These are best enjoyed the day they're made!