A change to the Constitution or its amendments require a Congressional supermajority to vote for it, then requires either 4/5ths or 100% of the states to ratify it. Well he ain't gonna get any of those.
But an executive order? That can only be shot down by judges. It won't be hard to find even mid-level conservative judges who think this is the bull it is, but then Trump's regime can in theory challenge and appeal it all the way up to the SCOTUS.
At that point it's a question of whether Trump does it before Thomas and Alito retires, or does he wait until he has appointed 5 toadies to the SCOTUS?
Despite all insistence by liberals to the contrary, it turns out that the President is actually really powerful.