I would think not. The child may be quite adaptable but it would be difficult for the two teachers to gauge her progress only seeing her every other week. Logistically the administrative side of it would be a nightmare. Attendance, homework, testing, social milestones, etc would very difficult to track and keep up with.
For the child, she would have to acclimate to the social aspect of the classroom every two weeks. She would tire of that quickly and may possibly develop social issues because of it.
I think your best bet is to move back or hope the mom moves too.