Ayushman Bharat Health Account (ABHA) is an initiative by the government of India to create a centralized system containing all health-related databases.
This database can only be accessed after the consent of the individual. This is highly secure and private. So yes, there is no need for individuals to worry about data breaches. In case a user wishes to share the data, the same can be done with their consent only. Until and unless the consent is there, no other person can have access to the details created.