Honestly, unless you die a lot this achievement isn't missable at all. I was able to complete the 10 levels in roughly 2 hrs and a half. So you have plenty of misses. Also, when you pause the game, the time stops running, if you want to take a break.
Edit: Beware, multiple people are mentioning that this achievement is only unlocking for the host. You might need to do 2 runs if you are playing Co-op.