For Flash you might do something like this (design mode):
(custom import)
import flash.display.Bitmap;
import flash.display.BitmapData;
(arbitrary code)
var object1Image:BitmapData;
var object1:Bitmap;
(when created)
[hide sprite for self]
object1Image = actor.currSprite.pixels.clone();
object1 = new Bitmap(object1Image);
FlxG.stage.addChild(object1);
I haven't tested this specific example, but I did something like it before to keep a button still during a slide transition. If you need a moving object, I think that would require setting the X and Y of the Bitmap object. For iOS I have no idea what the code is.
@Bombini they could, but as camaleonyco stated it's a performance drain.