Yes and no. You cannot play Operation: Anchorage again normally, but here is how you can repeat it:
1. Save your current game.
2. Exit the game and disable Operation: Anchorage.
3. Open the game and load your save game, and save again and exit.
4. Enable Operation: Anchorage.
5. Start the game and load the recent save, and you should receive Aiding the Outcasts as a quest again.
NOTE: This removes all posessions that you have collected DLC added items during Operation: Anchorage (Chinese Stealth Suit, Winterized T51-b Power Armor, Jingwei's Shocksword etc.), so you will have to get them again.