Not a Boeing guy, but this thread caused me to wonder the same thing, so I went googling. It appears that the 737 does have a trimmable stabilizer actuated by a jackscrew.
While we're raking over old coals (and I know we're talking of the MAX, not NG or Classic) can any of the technical posters here interpret the known data to categorically rule out the old 737 nightmare: Rudder Hard-over?
Please not. Let the Boeing redesign and service changes be the solution we all thought it was.