You have asked a great question. The answer to your question is Yes, Blockchain has the potential to deliver what you are asking for. With strong backbone of Cryptography which keeps the data privacy, blockchain can also be used as a record keeping system.
Then, the decentralized nature of the whole system makes the network free from any middle party transactions.
The power of immutability makes it amazing in keep medical records tamper-proof.
Even philips is coming to utilize this technology in healthcare space. https://thenextweb.com/blockchain/2018/10/17/philips-solve-healthcare-data-breaches-with-blockchain/
Decentralized consensus ensures the validity of data. The integration of heath-care systems with blockchain can be considered from pervasiveness and emergency-situations data storage/retrieval in addition with in-hospital patient tracking and monitoring.
It will strengthen such security, but not totally ensure it. As long as there is an action, there must be a reaction expected sometime in future. This is mankind ! Could anybody in the past imagine the crises of the Leaks ? !
Blockchain has a great future, but currently has a critical vulnerability. Distributed Ledger Technolo
gy (DLT) does a great job at securing the information in the ledger. However, the reason it is not approved by healthcare or financial regulators is that the endpoints of the system are not secure or authenticated. That means that bad actors can both gain access to the information and insert corrupting information. So, currently the answer is no. But in the near future there will be authentication for endpoints replacing vulnerable PKI.