I would say not yet. In the normal course of implementation, the government, after royal assent, begins to plan for the coming into force of the various provisions. Of course, we don't know in what final form the bill will be, so until the bill has actually been adopted by Parliament, it's premature to say that the act, after the passage of the bill, will require certain things to be done.
On June 7th, 2018. See this statement in context.