Probably that can happen in future, but not anytime soon for sure! Because banks and organized financial sectors are seeing bitcoin or blockchain as a threat to their business at this moment. Imagine, we don't have bitcoin, so the entire market cap of around 70 billion USD would have flown in to their channel. Which didn't happen because of bitcoin.
However, in the long run, when the world will move towards the cashless and digital economy, when printed money will only exist in the bank's coffer, then blockchain will probably make some sense to them and they will be interested in adopting that. But it's a distant dream right away.
That can happen in the future, but this won't be in a way that decentralized systems will be the fundamentals of that possible adoption. Central banks will probably limit the features of decentralized projects and bitcoin.