if you are talking SPDs like PD-M520 then the answer is 'yes' but you need to rebuild each axle assy using the sleeve that matches the pedal body, not the spindle; the sleeves have handed threads too. It is a fiddly job....
Note that some SPD models now have handed threads for the cone and locknut too; PD-M520 doesn't, but on those models that do, the RH cone and locknut are LH threaded.
It is reported that Loctite will hold the pedals in place OK against the forces of precession.
Mad thought; it would presumably be more difficult to clip in and out, but you could just fit the cleats the other way round on the shoes....
?
cheers