If yes, than there are two tricks I can think of:
A mage has rhino hide, no other armor and two corrosion markers. Shift enchantment the rhino hide back onto himself to remove the corrosion.
A creature has eagle wings and maim wings. Shift the eagle wings back to the same creature renewing the 'timestamp' of the eagle wings making it the latest enchantment and thus overriding the maim wings.
Shift Enchant's text: "Move target enchantment you control to a new legal target." So I'm guessing the word new means this does not work.
However Enchantment Transfusion's text reads: "When enchantment transfusion is revealed you may move any enchantment you control from this creature to one legal target creature up to 2 zones away from this creature." So I believe these tricks do work with enchantment transfusion.