Where I live in the US, my understanding is that pedestrians always have the right of way at intersections (regardless of whether there are any traffic or pedestrian signals) unless:
1. There is a pedestrian signal that says to NOT cross, or
2. The traffic signal going in the direction the pedestrian is walking is red.
So if the light is green and the pedestrian signal does not say to not cross, then the pedestrian has the right of way over any cars turning. However, as with anything traffic related, that doesn't mean that a pedestrian can intentionally create an unsafe situation (e.g., start crossing the street as a car is turning).