Surely yes. As we know, blockchain is the technology that drives cyrptocurrency. All crptocurrencies use blockchain tech, but not all blockchain-based projects use cryptocurrencies.

Answering your question, the possibility is certain to occur and even already and is happening.
IBM (a global technology company that provides hardware, software, cloud-based services and cognitive computing) is developing blockchain PoCs and pilots without any cryptocurrency.

Another example is the Smart Dubai project which aims to become a blockchain government by digitalizing the government and using blockchain as a source of media attention, citizen safety and cutting-edge technology.