In a medium bowl combine the broccoli, ham, onion, parmesan and cheddar cheeses. In a larger bowl beat the eggs until they are foamy. Blend in the oil. Add flour, baking powder, oregano, parsley, thyme and garlic powder. Mix together, then stir in the broccoli and ham mixture and mix until just blended.
Spoon muffins into 12 lightly greased muffin cups. Bake for 20 minutes until golden and a toothpick inserted in the center comes out clean. Makes 12 muffins.