No, transmissions can be cable-actuated as well, like some of the B-series trannies.
All F-series and H-series engines use hydraulic transmissions. They never came with cable trannies.
Edit: EGLSHB, I see what you mean now. Transmissions can be either hydro or cable, and shift linkages can be either solid or cable. Later Prelude/Accord engines all had hydro trannies with cable shifters.