No, because there are many positions within Parliament. Parliamentary officers are appointed by the Governor in Council, starting with the Clerk of the Senate, the Clerk of the House of Commons, the Usher of the Black Rod, the deputy clerk, the Sergeant-at-Arms, the clerk assistant, the law clerk, parliamentary counsel, and the parliamentary librarian, as well as the associate parliamentary librarian.
On February 13th, 2008. See this statement in context.