Offering my hopefully-informed layman’s point of view.
It’s highly plausible that there are multiple (local) universes, likely with variations of physical law.
The idea of diverging timelines is about as good as any other interpretation of QM, possibly a little better than most. So, still plausible.
If there are multiple universes, and the number is insanely huge there would be someone like you. Whether they would be you - even if identical - is a philosophical question.
With multiple timelines you would definitely exist in more than one. The timeline would diverge many times during your lifetime.
Mathematics let’s us construct models of reality. We can use statistics to show how those models reflect reality (if they’re so good that the differences from our measurements are likely to be problems with the measurements then we usually say that the models are true.).
Also, the models can have features that we can’t observe - but if the model is good and the features aren’t tacked on then that is pretty good evidence for those features. That is the case with the loads of different universes multiverse, which follows from most versions of Inflation (in the cosmological sense).