I might be wrong (never had to do with NavMesh so far) so go ahead and correct me but I would say: No.
The Manual -> NavMesh states
The process of creating a NavMesh from the level geometry is called NavMesh Baking. The process collects the Render Meshes and Terrains
of all Game Objects which are marked as Navigation Static, and then processes them to create a navigation mesh
that approximates the walkable surfaces of the level.
A static GameObject, though, as the name suggests is static, meaning among other things: It doesn't move!
So as I understand it and if I'm not totally mislead I would say if your objectA
is moving, then it is not applicable for a NavMesh
.