Actually bitcoin can be valid without having to use an internet connection but bitcoin must be legally recognized as a legal currency but unfortunately for now bitcoin is heavily criticized by many countries so it is difficult to realize it all
What about the concept of using a ledger nano wallet? Even if the wallet isn't connected, it can still receive balance from users, but the problem is just, if you are the sender or the person to create the transaction, you really need to have an internet connection because you need to connect to the world in realtime for your transaction to be recorded in the public ledger. For me, it will not be a necessary thing for us to consider running a blockchain that can be accessible without an internet. I highly consider Internet should be the one to adjust, and to become easily accessible for different services to run not just blockchain and cryptocurrency transactions.