[gpm]

Since it looks like you might not be getting an answer - I can't speak to ocean waves but I strongly expect so. I've certainly surfed non-breaking standing waves in whitewater just fine (not me, but e.g. https://www.youtube.com/watch?v=OlwijfFpk3E)

Surfing is just sliding down the rise in water caused by a wave at the pace as the water rises behind you as the wave moves (in the case of standing waves, I mean moves relative to the reference frame of the water).