"It's not possible, everything can be explained by science sooner or later."

I'm not sure there is a good philosophical reason to believe this. I think something like it is certainly true, but its not entirely clear what an explanation even means, for one thing. And then there is the possibility that certain physical outcomes do not actually supervene upon the physical systems which constitute them.

I do not believe in mystical experiences as being informative about the true nature of the universe, and I generally think "science" is a useful set of tools for (at least) predicting the future and designing machines and perhaps even for constructing ontologies, but I don't think "everything" can be explained by science. I can see no powerful reason to think everything has an explanation.