Brush oil over bottom and up side of 10-inch nonstick skillet; heat over medium-low heat. Cook asparagus and mushrooms in skillet 3 to 4 minutes, stirring occasionally, until asparagus is crisp-tender. Reduce heat to medium-low. Stir in crabmeat. Cook until heated through.
Spread mixture evenly in skillet. Pour egg product evenly over mixture; do not stir. Cook 6 to 8 minutes or until egg is almost set. Sprinkle with cheese.
Set oven control to broil. Cover skillet handle with foil. Broil frittata with top 4 to 6 inches from heat 1 to 2 minutes or until cheese is melted and eggs are set. Cut in half; serve immediately.