No bank involved, but for every transaction you burn down an unspecified amount of the Amazon rainforest. But hey, you win some, you lose some.

You always need a 3rd party for two individuals to transact. It's banks for dollars, miners + the whole infrastructure for crypto.

In principle, miners or the infrastructure maintainers could be forced to never mine your transactions (well, transactions to/from particular wallet IDs), by the way. It would be of course harder, since your money is in a single bank, but all miners would have to agree to the ban for it to work.