Trevor the Guru here,
Unfortunately, you wouldn't be able to use Bank of America as a payment processor as they aren't currently setup to be used with Shopify. While you wouldn't be able to use Bank of America, we do have a large list of other payment processors available for the United States which can be seen here. :)
If there are any other questions, feel free to reach out to our 24/7 support through phones or chats!
All the best,