At the moment you can move initiatives and features to different products, but not goals. You can even clone a release from one product to another.
However you can't move a goal from one product to another. This is a pain when restructuring a large number of products and product lines.
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It is now possible to move and copy goals and initiatives. We also expanded this capability to competitors and personas.
Please read more about it here: http://blog.aha.io/move-strategic-goals-initiatives/