Yes, it's possible. This is a Fallout: New Vegas speedrun where the game is completed in under 30 minutes.
"First, for those who aren't familiar with the game, I skip dialogues at the beginning by quicksaving/quickloading," Ryderc33 wrote.
"Also, I'm playing in very easy, that explain why the damage received are pretty low. Also, at the speed I'm running, I don't actually receive that many damages anyway.. This is the default difficulty used by the community."
The other secret? A glitch that allowed the player to run through or past nearly every battle and take almost no damage.
When you cripple your leg, you get slower, and then when you heal it, you're supposed to get your speed back. By quickloading just before getting crippled, you can confuse the game into giving you the speed back without actually ever losing it ( because we don't actually really get crippled). So you get a huge speedboost, and walk at 165% of your walking speed.
This speedboost can appear in two versions : One which is "breakable", it will last as long as you don't quickload again.
The second one is "unbreakable", you can quickload or load a game without losing it.
The glitch is pretty hard to get, because it need a precise timing, which can vary with your configuration, framerate, and other thing that we probably don't know about yet.
This is why this sort of speedrun is so fascinating; the players have to almost cut through the game itself for the fastest possible completion. Doing this sort thing requires deep knowledge of the game and how it works behind the curtain, and it's a ton of fun watch. Enjoy!Fallout 4: The debut trailer