Yes, in some cases. However, entering the United States with ESTA does not automatically mean that anyone can immediately open a bank account.
Whether a bank account can be opened depends on the bank’s own rules and the documents the traveler can provide.
In general, a bank may request a passport, proof of address, or additional identification documents, and the requirements may vary by bank.
Therefore, if you want to open a bank account after entering with ESTA, it is best to check the account opening requirements of the bank you plan to use first.