I guess it's possible. But if the writers somehow put that in the storyline now, they would have to come up with one hell of a explanation for why it didn't break Buffy and the others necks. I mean, it was killing Potentials to wipe out the slayer line, which I assume(not sure if it was mentioned on the show of it it's just a fan theory) was so it could end existence without meddlers*. So not doing what it could to kill the slayers make no sense. And to be honest, if the writers somehow re-wrote history like that, and gave The First more motives or plans or whatever, I would be bored and annoyed with it. Like how Skip said Jasmine had planned her birth through being behind lots of events. Kind of made Ats's characters and plots seem less great and interesting since they were manipulated(assuming Skip wasn't full of it.
*Probably the reason it tried to take out Angel too, since he was the vampire with a soul, destined to fight for good(I believe that's what the propechy said, anyway).