Preheat oven to 450 °F. Coat a baking sheet with cooking spray.
Place breadcrumbs, salt and pepper in a small dry skillet over medium heat. Cook, stirring, until toasted, about 5 minutes. Remove from heat. Brush both sides of each fish fillet with oil and dredge in the breadcrumb mixture. Place on the prepared baking sheet.
Bake the fish until opaque in the center, 5 to 6 minutes.
Meanwhile, make Tarragon Tartar Sauce.
To serve, carefully transfer the fish to plates using a spatula. Garnish with a dollop of the sauce and serve with lemon wedges.