Heat a large skillet over medium-high heat, add bacon and cook until crispy. Remove from skillet and crumble. Set aside. While bacon cooks, dice potatoes.
Add oil to the skillet and toss in potatoes. Cook until tender.
Dice peppers and mushrooms. Add to the skillet and sauté for 2-3 minutes more minutes.
Whisk eggs together in a mixing bowl, add to vegetables; stir to scramble and cook until no longer runny. Grate cheese and sprinkle on top at the end of cooking. Allow to melt. Top with crumbled bacon.