This achievement can be earnt very EASILY without any hassle, and you can die.
Start the level, and play it normally, if you die, no problem, just keep going.
When you get to the part where you kill the beast, progress into the next room.
You'll find yourself in a small tunnel with an earth pillar at the end, while your being chased by lava, go up the pillar.
Now pause, and return to the main menu. Press continue.
You'll find yourself back in this tunnel, but the death counter is now fresh. The game starts a new session and thinks you have died zero times.
Now just climb the final tunnel and exit the level without dying for your achievement. If you die, repeat it by quitting to the main menu and continuing. From this point the level is only about 45 seconds long, so it's not much to master.
Hope it helps.