Not necessarily asking for money, but it can still lead to fraud. My wife got tripped up by one.
A guy called claiming to be from our bank. He said there were suspicious transactions in our recent account history, and he had some information about us. He knew our names, address, phone numbers, and even the last 4 digits of our social security numbers. He asked her to confirm her debit card number, and she gave it to him.
There's something surprising about a stranger having your personal information. It makes you think they're legitimate. My wife has a pile of degrees, and they still managed to trick her.