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There are ways to move objects like that with the gizmo, but I don`t think a "simple" interpolation between them is possible.
This would be very handy and useful for product renderings.
The LUA animation scripts you can download from the Resources & Sharing section can do a lot of this. Before animating in Belnder I used them to do some nice product rotations along two axis. I probably would not want to use them for an animation with as many objects as in your sample video, but with a lot of planing and time it might be possible.