Wash chard and separate leaves from stems.
Chop stems into 1/2" pieces, roughly chop leaves.
Heat coconut oil over medium heat.
Add stems to pan first, sauteing for 3 minutes.
Add leaves and stir. Cook for 4-5 minutes, until leaves become soft and bright green.
Grate nutmeg over swiss chard, stir then remove from heat. Transfer chard to a plate.
Place pan back over heat and add eggs. Cook, stirring until eggs are almost fully cooked. Remove from heat, add salt & pepper. Serve over swiss chard.