Heat olive oil in large skillet over medium high heat. Add eggs to the skillet and cook, whisking, until they just begin to set. Gently whisk in half and half; season with salt and pepper, to taste. Continue cooking until thickened and no visible liquid egg remains, about 3-5 minutes; set aside.

Fill croissants with eggs, ham and cheese to make 8 sandwiches. Wrap tightly in plastic wrap and place in the freezer.

To reheat, remove plastic wrap from the frozen sandwich and wrap in a paper towel. Place into microwave for 1-2 minutes, or until heated through completely.

Serve immediately.