Not exactly, I mean there's a higer chance but it's not a big one (for example: I don't give out my ID unless it's to an exchange that will watermark it - for people that want ID I normally use cash transfers to get around it).
@OP, you can't do anything without verifying some sort of ID, I've been asked to photograph a debit card (with your finger over the long number) which should be fine (since a standing order/direct debit need an address for verification if the person on the other end was an attacker).
I recentrly cancelled a contract, and it takes ~48 hours to use a PAC to transfer someone's number (and the PAC was sent instantly to my device) - if the device were compromised then anyone could get the number and then remotely delete the text...