Heat the broiler to high. Combine the potato chips, ham, peppers, thyme, eggs, and salt and black pepper in a bowl and let sit to allow the chips to soften in the eggs, about 5 minutes.
Heat the oil in a 10-inch nonstick skillet over medium-high heat; add the egg mixture and cook, without stirring, until the bottom begins to brown, about 3 minutes. Transfer to the broiler, and broil until the top is set but still slightly jiggly (not sloshy) on top, about 3 minutes. Cut into wedges or small squares to serve warm or at room temperature.
