Friction between the tides that the Earth raises on the Moon and the Moon's rotation have already produced a tidal lock. The same side of the Moon always faces the Earth.
Note: Because the Moon goes around the Earth once a month, it really is rotating: It rotates on its axis once a month.
Pluto and its Moon Charon are orbiting only a small distance apart and are thought to both be in tidal lock so that they face each other at all times.