Why not? In Parallels, we see Worf experience/observe different realities that range from minutely different (chocolate vs vanilla cake) to suicidal Riker in Borg overrun galaxy. If the conceit is “infinite possibility” then yes, it’s possible. Kelvinverse is just one such possibility.a timeline so identical to the last the Ent-E crew didn't notice any differences when returning home?
Ultimately, it doesn’t matter. Just as the needs of the story trumps pure historical accuracy (as it should in a historical dramatization—though not a documentary), so too should the needs of the story trump pure continuity (especially as Trek is fiction, not a period piece).