In this situation, are you obliged to yield the right of way to pedestrians when in the traffic zone?

In the photo you are driving across a car park in front of a shop, where vehicles and pedestrians move on the same paved surface; in front of you a man is leading a small child by the hand. In a traffic zone (strefa ruchu) on such an open area, you are obliged to give way to pedestrians. The answer is: yes.

The Road Traffic Act requires a driver crossing a footway (droga dla pieszych) to drive slowly and give way to pedestrians, and this rule applies accordingly when driving across an open area where pedestrians and vehicles move on the same surface because there is no separate roadway and footways. Road traffic rules apply in a traffic zone just as on a public road. In a car park, pedestrians step out from behind cars, children run around and customers push trolleys, so you drive at walking pace, keep your foot over the brake and stop before every person crossing your path.

Legal basis: Art. 26 para. 4 and 5 and Art. 1 para. 1 point 1 of the Road Traffic Act (Prawo o ruchu drogowym)