Using constraints to do backward pass

This may not be the correct way of setting it up, but can you set finish on constraints on an activity that would toss a backward pass to keep predecessors to the activity scheduled to finish before the date of the finish on?
Is there any way to use a constraint or scheduling option to reduce float via a backward pass? My last suggestion was to just use mandatory finish to avoid relationships as the planned dates are being pushed out past the constraint date because of the relationships.

Thanks in advance.

Bob