No you can't. Companies like OpenEye and Deep Sentinel offer facial recognition solutions that are targeted at loss-prevention, and these systems are commonplace in the USA. Facial recognition-based consumer analytics systems are also available.
In fact, I think you'd be hard pressed to find a pint of ice cream that you can buy without having a camera pointed at your face. Even the little stand at the beach in the state park near my old place had a camera, and I didn't even have real LTE coverage there.
Privacy comes only from the force of law; not the other way around.
Anyways, the whole conversation is a red herring. This is a replacement for ACH, which already exists, and there isn't substantively more information sharing between banks and governments than already exists.