I think Frag is talking about the "Statuut voor het Koninkrijk der Nederlanden". The Netherlands has its own constitution, but for the entire kingdom (including those islands in the Antilles) there is the Statute.
Even so, there's nothing special in there. It defines the King/Queen as Juliana and her successors, because the Statute was created after WW2.
Even in national parliaments the vast majority of proposals come from the government/executive. Most of the proposals from lone MP's end in failure, at least over here - either being rejected or rendered obsolete because the government launches its own proposal to compete with it.
That said I agree it should be possible.
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