Pullin completed the 900m course in 29.99 seconds.
The course has been shortened for this event due to the unseasonal snow conditions.
Jarryd Hughes finished 15th to also qualify for the finals, while Matthew Thomas also qualified on his second run, to finish 44th overall.
Cam Bolton was a withdrawal from the event after suffering a back injury in training.
The finals will be run on Saturday night (Australian time), with qualifying and finals for the second event to be held on Sunday.