1962 Valiant Signet 200

No, the (round) reversing lamps on the '62 Valiant are not the same as the (arrow-shaped) park/front turn lamps.

The round '62 Valiant reversing lamps also aren't the same as the round park/turn lights on the '61-'62 Lancer + '63-'64 Dart.

The '62 Valiant reversing lamps are similar in whole (lens + housing) or part (lens only) to the reversing lamps on a fair bunch of other A- and B-body Mopars. '63 Dart wagons used the same glass lens, for example, and '67 Barracudas used a complete assembly that's almost or entirely the same as the '62 Valiant.