Yes it does.
Set all the layers on their places, go to 2 seconds or whaterver you want, set keyframes for all of them for Position, Scale and Rotation. With all the keyframes selected press Shift+F9 (this is for smoothering the end of the animation.
Now go to 0 seconds in the time line and scrable the layers the way you want. Select all the begining keyframes (all those which are in point zero of the timeline) and press Crtl+Shift+_F9 to smooth the start of the animation.
Now that you have your animation done, select all of the layers but the first (if the objects are not off-screen, select the keyframes instead) and delay them 2 or 3 frames from the first one, deselect the second one and do the same thing, deselect the third layer and do the sane thing and so on, until you have each layer a little bit after the next one.
It gives a nice look to the animation.
I hope it is what you need.
Let me know if it helped.