Bring water to a boil in a medium saucepan. Add wild rice; cover, reduce heat, and simmer 1 hour or until tender. Combine cooked wild rice, crab, and next 11 ingredients (crab through egg whites) in a large bowl. Divide the mixture into 8 equal portions, shaping each into a 1-inch-thick patty.
Heat 2 teaspoons oil in a large nonstick skillet over medium heat. Add 4 patties; cook 4 minutes. Carefully turn patties over; cook 4 minutes or until golden. Repeat procedure with remaining oil and patties.