It is not part of the Napoleonic emerald and diamond parure.
I think it is more probably part of the modern set worn by Queen Sonja. On the following picture, we can see the same bracelet, worn along a necklace of matching design (on 13th September, 2007, for the State visit to Norway by the President of Brazil, Luiz Ignacio Lula da Silva):
I think we had not found, though, if the green stones are emeralds, or tourmalines, or another stone.