Probably not, since heavier objects don't actually fall faster than light ones. There is a grain of truth to your theory because it would change weight distribution against the air resistance as it falls, but unless you're dropping it off a third floor window, air resistance isn't going to have enough time to make much of a difference.
Just trying to be funny here - but if the weight doesn't matter then why does a piece of bread with peanut butter on it always land peanut butter side down?
