A mover? I don't think so, no. What I know you can do is make something destroyable by the AT4 only (and not the redeemer, it would have to be the AT4 or AT4 and/or Redeemer), as I have seen that done before. But as for a mover, I don't think so. Unless you want the car to be a mover in the sense that you want it to "move" into a thousand little pieces when its blown to bits (like the mover of cannon in Operation: Overlord)
I'm not mapper, so don't take it from me or anything, but what I would suggest is looking at the triggers and seeing what criteria can set them off, and then making the car from multiple movers that will move their bits and pieces along multiple different frame vectors. This is entirely TOOMA, so hey, I don't know. All I know is this:
You can in fact set something to be a weapons-specific trigger. There's an assault map that is set up like than at RealMaps somewhere.
And that you can use a mover to realistically blow a car to shit.