Was thinking more about cognition than neuroscience, but sure, even there. Think of any counter-examples -- I'm guessing things like symbolic reasoning or pre-existing structures in the brain -- and then consider the origins of those concepts.
Admittedly I'm an absolute layman just dabbling in this, but I could find not a single concept that cannot be traced to statistical origins. Like, symbols are essentially "vectors" of thousands of neurons firing simultaneously, and the pre-existing structures in the nervous system originate from evolution, which is a statistical process.
