Anyone can designate something an official language (or as an "official" anything), but that designation only has as much effect as the authority under which the person is acting. If congress has not delegated any authority or enacted any statute that gives effect to a person's designation of something, then the designation simply doesn't have any practical or legal effect.
I have been unable to identify any statute or regulation that either delegates this authority for or gives any effect to such a designation of an official language by the President. Typical drafting practice is to identify in the executive order any delegated authority being exercised (e.g.), but this EO does not.
The person isn't prevented from making the designation though. A court would not enjoin the person from making the designation. There would just be no effect.
The particular EO in question makes the designation, but it does more. It also rescinds a previous EO and orders the Attorney General to rescind any guidance issued under the previous EO. Those are the operative provisions, not the designation.