In a bowl, whisk together eggs, almond milk, and chives. Season with salt and pepper. In a frying pan, melt butter. Pour half of the egg mixture into the pan, moving to create a thin layer that covers the entire pan. Cook for 2 minutes. Add 1/2 the cheddar and cover for 2 minutes more, until the cheese is melty. Remove onto plate, place 2 slices of ham, and roll tightly. Repeat with remaining ingredients and serve.