Some good news, this achievement can be done but selecting "Screenslaver Chase" from the free play menu
The time window is a little tight but follow these tips and it should be a piece of cake.
-Mildly Important: Have Elastigirl and Reflux selected BEFORE you start up the scene from Chapter 4. Like I said, the chase has a tight window so having an active character that isnt optimized for this level will waste time.
-Take your time and be quick, its a speed run section sure but you'll waste more time fighting the games mechanics if you go to quick. Run the level a few times, remember the queues of what's to come and dont just jam on the O button to build. Wasted time really hurts and undoing the ball thing she does isnt fun.
-The hallway run sequences are pretty straight forward.
-On the first, just try to go slow, none of the citizens do anything seriously sporadic so you should be fine.
-On the second hallway, there are two brown box piles, put your character on the same side of the wall they're falling from, jump at the right time and you'll walk over the biggest piece of the pile.
-Third hallway has nothing that will hold you back too bad, just keep dodging stuff.
-Have a smart phone or a computer handy for a timer. As soon as the scene starts, hit the go button. It will be the most accurate way you'll know if your on time.