https://www.secureworldexpo.com/industry-news/jpmorgan-chase...
As an example of consequences of a belief that it is not possible:
The JP Morgan hack resulted in the loss of 76 million records. That means if each person's record is worth more than $14 it would be profitable for someone to hack JP Morgan if they had a system that could not prevent compromise by a red team with a $1 Billion budget. Given your question, I will assume you do not believe that such a system does not exist, in fact, you probably believe there is no system that is even in the general vicinity of that number (apologies if I am misinterpreting your statement). If we assume a $1 Million budget is all it takes, then each record would only need to be worth 1.4 cents for it to be profitable to hack JP Morgan. How do you think people would feel about that? Do you think it would be problematic for JP Morgan if they announced they protect every account with $14 of security, let alone 1.4 cents?
Now the JP Morgan hack is a little old, it happened in 2014, so let's use something newer. In 2019 Wells Fargo lost over 24 million records. At $1 Billion that is $40 per record. At $1 Million 4 cents. Do you think it would be problematic for Wells Fargo if they announced they protect every account with $40 of security, let alone 4 cents?
Are there any such systems deployed in the world today?