Yes, it is possible.
Work Step by Step
The snow bridge only has to support the component of gravity perpendicular to the ground, for the component of gravity horizontal to the ground is what is causing the skier to accelerate. Thus, if the hill is steep enough, the person skiing will be okay. A good way to think of this is the most extreme example. If the hill was completely vertical, the skier would just fall, and thus the hill would have to support no weight. Thus, if the slope is steep enough, the skier would be okay.