No, in America (as everywhere else corporations exist, since this is the very definition of a corporation) a corporation is considered a legal person (that is, an entity subject to legal process in its own identity). In America, corporations have Tax ID numbers, which serve (for tax purposes, though not for Social Security itself) a purpose similar to Social Security numbers.
This is why the executives should be criminally chargeable. Banks are systemically important, but the executives are not.
There's a couple ways you could handle a "corporate death sentence" applied to a bank: 1. You could treat it as if the bank had failed completely -- all assets are forfeited, but customers receive refunds on insured (e.g., covered by FDIC) accounts only up to the amount insured. This would create some risk for large depositors, which could be considered bad, or could be considered good as it would encourage large depositors to take an active interest in how banks are run which would create pressure on behavior which would reduce the likelihood of needing to impose sanctions.
2. You could treat it as a facilitated sale of the corporation itself -- either in one unit or split into pieces with different buyers -- with any proceeds going to government rather than the shareholders.
Then you should be able to seize that individuals assets and while you can't send a company to jail you can bankrupt it.
If we're going to consider all companies as people then all laws should be applied to said people.