Yes, the Bond is a mutual and two-way connection. If any one of the pair cannot form a bond, then no bond can be formed. It needs to be attached at both ends. And to the animal's point of view, the magus is his familiar 
Well first as an ego thing i couldn't see a Bjoraner wanting to be bound in this way regardless of the way the bond works.
second and more interesting question related to this topic....
What about a Bjoraner tht has passed into twilight and now is a beast of legend?
at that point they are now a beast of the magic realm and seem to fit all the requirements for familiar candidacy.