It's not an individual ability, meaning it's not something anyone can use. It's more like a mechanic of the verse than a power someone possess.
Izuku and Bakugo didn't break fate by themselves, it was everyone in that moment. You can run that same scene, but remove everyone who was watching them, and they would've failed to save All Might just like in Nighteye's vision. That's clearly the implication I'm getting from the scene. Also fits with the theme of the story as well.
However, there is another interpretation. Nighteye in All Might's head isn't real, and it's just a figment of his imagination to keep him going. All Might doesn't know the exact details of that vision, only Nighteye does. It's possible this wasn't the vision Nighteye saw and it was already changed beforehand.
Considering how heavy the scene was, I doubt that's the case... regarding the wishing stuff that is. Nighteye is actually something All Might is imagining, he's not real.
And it being "fate" is iffy as well, since it's just Nighteye's Quirk being wrong. Also doesn't explain how Izuku avoided "dying" to Chisaki. Which I still find really strange. Chisaki stood zero chance of killing Izuku. Did Izuku not try to use Infinite 100% in Nighteye's vision? The wishing energy made him smarter?
Actually, Nighteye's vision including Rewind AFO vs All Might is extremely iffy. He saw All Might's future first, meaning his vision should be one where Izuku is dead. All Might survived because of Izuku, Bakugo, and everyone. If Izuku was dead, I don't even see how this final war even goes down like this.
Without Izuku, Tomura would've killed Endeavor and all of the other heroes at Jaku. That's a massive change. Nothing can be assumed at this point.
It doesn't make sense he'd see a future that depends on Izuku being alive, but later sees him die. Unless we say the future was changed well before the Yakuza Raid?
Izuku surviving throws Nighteye's vision of All Might into wack, assuming AFO ripping him was what he saw. At the end of the day, that information came from All Might's head. Nighteye's words were a personal belief, not a solid foundation on how the world works. We don't have an actual confirmed force of fate that they've defied.
We already know Nighteye can change the future. His Quirk wouldn't work in combat if he couldn't. He just believes he can't change death or someone's end point.
There are far too many questions about this stuff. I don't see how we could label it as anything. I feel like more questions are popping up the more I think about it.
That's my opinion about this. Feel free to agree/disagree. Not going to say anything else as my head is already spinning trying to think about this.