Cut the sheep cheese into small pieces. Crush with a fork or shred using a food processor. Cut the ham into very small pieces. Mix together the sheep cheese, ham, herbal cream cheese, sour cream, and chives. Season with salt, pepper, paprika powder, and garlic powder.
Place the puff pastry on a baking sheet lined with parchment paper. Using a tablespoon, gradually spread the mixture evenly over the pastry. Sprinkle with grated cheese and oregano.
Bake at 180°C (350°F) on the middle rack for 20 minutes until the pastry is golden brown.