Likely, but it probably ends up being "harmless fraud" and even if prosecuted the judge would be like "what?".
If the bank really cared, they would ask for the PDF and have you mail the wet signed documents in.
Likely the requirement for a wet signature is left over from earlier times (think fax machines) OR they are trying to ensure that the person actually signing is the person signed (in other words, YOU did the signature, not you asking your wife/broker/whoever to apply it for you).
