Preheat oven to 475°F. Set a wire rack on a foil-lined baking sheet and coat with cooking spray.
Place almonds, flour, paprika, garlic powder, dry mustard, salt and pepper in a food processor; process until the almonds are finely chopped and the paprika is mixed throughout, about 1 minute. With the motor running, drizzle in oil; process until combined. Transfer the mixture to a shallow dish.
Whisk egg whites in a second shallow dish. Add chicken tenders and turn to coat. Transfer each tender to the almond mixture; turn to coat evenly. (Discard any remaining egg white and almond mixture.) Place the tenders on the prepared rack and coat with cooking spray; turn and spray the other side.
Bake the chicken fingers until golden brown, crispy and no longer pink in the center, 20 to 25 minutes.
Ingredient note: Dried egg whites are convenient in recipes like this one because you don't have to figure out what to do with 4 egg yolks. Look for powdered brands like Just Whites in the baking aisle or natural-foods section or fresh pasteurized whites in the dairy case of most supermarkets.