Is it actually possible for that to happen?

Scam - designed to persuade the gullible to do something that they shouldn't.

There's an old adage; nothing is ever free. There is always a cost - if not financial, it will be your data or your personal information.

Responding to the scam will inevitably cause difficulties - including (but not limited to) unwanted email or messaging, financial fraud, exposure to malware or other security threats.

No.