Can Morph target's have real-time dynamic collisions?

Hi All,

I am quite new to UE4 and I am trying to create a scene in which a third person character walks through a shape changing room (the walls of the room change shape over the course of the animation). To do this I created the room using Maya and imported the animation into UE as a Morph target. The animation plays fine, but I am not able to figure out how to get the collisions to change with the shape of the room. Is it possible to do this with a Morph target? or is there a better way?