No advice but my son does this from time to time when he gets told no. Even saying he has been hit or kicked by someone he hasn't seen that day or isnt in the room.
Yeah my son does the same thing sometimes, he must be copying someone from nursery
We went through the same thing but with our daughter saying she was hit at nursery, mentioned it to her teacher who kept a close eye on it and turns out she was saying this when she didn't get her own way. We just explained it's not kind to tell lies that will get people into trouble, and that she wouldn't like it if someone said it about her. It's ok to be sad and annoyed without telling lies
My son did this at nursery once, they were talking about what makes them sad and he said when mummy and daddy hit me, which obviously never happened, we shit ourselves because how bad must that look, luckily the nursery said they knew us enough to know it's not true, we had a serious talk with him about how saying things that weren't true like that could get us in serious trouble, in a way that didn't scare him but so he understood how serious it was and he never did it again, thankfully 😅
I learnt my boy was behaving a certain way and saying certain things cos he was coping children at nursery. He seems to suddenly be focused on copying bad behaviour. Maybe someone at nursery is either hitting her or a child has mentioned they have been getting hit. Maybe casually ask her does she know anyone that has been tickled, shouted at, hit, pushed? Mix it up with positive things and negative things so she doesn't calm up. I've found mine will tell me all sorts providing I ask the right questions but as soon as I start asking questions that seems upsetting he tries to change the subject.