See this Governing magazine article, What's Blockchain Technology, and Why Are States Hesitant to Adopt It?
It does not seem to be an easy thing to implement across a wide variety of agencies and disciplines. I also wonder, if at some point, even blockchain can be hacked in the future.
Here is another example of a local government looking to use blockchain.
We certainly need better tools than we have. With people being our biggest vulnerability, education is top of mind. Every day I'm deleting suspicious emails. Today one came from Chase Bank, but then — I don't bank at Chase, so ah — delete and mark it as junk, block sender.