if you believe in super-determinism and that everything progresses based on predetermined laws you can take the view that space+time already exists in all its past and future and that nothing happens.
or, quantum mechanics in the multiple world interpretations. you can say that the state of the world literally splits whenever there is an event.
i guess the metapoint here is that just because something seems mutable does not mean it’s really mutable and that mutable and immutable only make sense at certain levels of matter organization (are atoms mutable? what about photons? what about quarks?)