Trump as Speaker of the House...need not even win an election

[Munch]

Can a private citizen become Speaker of the House?

Trump is currently pushing a reinstatement plan that involves replacing Nancy Pelosi as Speak of the House with him. Once he is Speaker, Biden and Harris are impeached and removed and voilà, Trump is President. Can Trump, private citizen, be installed as Speaker of the House if he is not an elected Congressman?