Yes, but I warrant we would not countenance the step of elected officials dictating to the press who qualifies as a journalist, or dictating to other branches of government who they can credential at press conferences. Unless you think that we've grown past the principle of a free press, and that smear campaigns against targeted reporters, managed or abetted by elected officials, are acceptable.
That's neither the question, the subject of inquiry, nor the answer. It's a deflection of the underlying, basic issue.