Probably not. The issue is with the differences in the zero pose. You can solve the issue by creating a pose for your gen4 character by setting the foot to approximately the same size and scale as genesis and export an obj of the shoe... then reimporting it as and obj and rigging genesis to that.

If it's a high heel, then i would create a foot pose morph for that in addition and use that as a morph after you rig it.