The answer to this is no, this is not possible. This is due to the way nested fields are set up with using a parent child relationship. Each parent field has a unique ID and the sub fields are associated with this ID.
I have never tried or tested the following, so I cannot guarantee it will work or if there might be any side effect of doing it that would cause problems. If you created the fields and exported them, then you duplicated the fields that you want to reuses into different layouts, keeping all the same settings and field_ids, it may be possible. But like I said, I’ve never tested this theory.
