Depends on what you mean.
Can you stop Lindsey from jumping or falling? No, she will get injured no matter what you do.
Can you try to reach her at roof just to see her fall anyway? Yes, you must have finished 4 quests for Lindsey beforehand, like the tripod, painting or gifting her the CD.
In the end, the big difference of the choice is the reaction and attitude of your character to the event with further hints to the larger mystery at hand, not the harm reduction for Lindsey. She is injured no matter what you do, but she survives and her dealing with the repercussions of the event are the core of her storyline in season 2.