This is a thought I had since a very young age.
One possible way for existence to appear out of nothing, or at least out of minimal necessity, is to be the single materialized branch, out of all the possibilities/rearrangements, that is the most coherent, that will never “get destroyed” or fail to fulfill the final goal (in case there is one): order or mathematical structure/elegance. All possibilities exist as timeless candidates, e.g. there is a possibility/a world, where everything explodes in the next second, but it never materializes because everything is ending/will eventually end at some point under these circumstances. The everyday concept of time might not properly apply here; regular tenses of everyday verbs might not make sense because future potential state might affect the present unfolding.
This might be relevant to the many-worlds interpretation of quantum mechanics.
Still, it doesn’t account for the existence of the possibilities themselves. Why should the possibilities themselves exist at all?