Yes. You can self-intervene if you foresee your own death in a premonition or figure it out based on signs. At the beginning of each movie, the precog technically saves himself/herself (along with the other survivors) by avoiding the main disaster. Precognition does not seem to part of death's design, so someone is subverting the design if they take a different course of action because of a premonition. That said, any actions that aren't based on a premonition or a sign do not count, as they would be part of death's design. For example, if I have a premonition that I will get hit by a car and avoid stepping out into the street because of the premonition, then I cheat death. On the other hand, if I simply see the car coming (with no paranormal foresight) and jump out of the way, then that means I wasn't supposed to die that way (because in that case, me seeing the car would be part of death's plan).
As someone previously stated, Wendy did not save herself because she was not meant to be killed by the firework. She noticed the firework on her own and dodged it with no paranormal foresight. She was supposed to be crushed by the sign, but Ian accidentally intervened by blocking her path. Ian was supposed to die in the hardware store, so his presence at the fair was not part of death's plan for Wendy. Because Wendy was skipped, death went back to the beginning of the list, which meant Ian was next.
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