It surely can! But it depends on the government on how willing they are to make the data public. Blockchain has definite usage in sectors where data chronology needs to be maintained. example - land ownership records.

I can share one example where government has adopted blockchain. Read these news below,

https://www.ccn.com/indian-state-government-will-issue-birth-certificates-on-a-blockchain/

Also, there is a proposal going around the land records to be maintained in a blockchain database. Read the proposal below,

https://blockchain.gov.in/Home/CaseStudy?CaseStudy=LandRegistration#

So the usage is there and waiting to be implemented. But again it depends on the government as to how willing they are to share the data using a public ledger.