Can someone have their lawyer do this?

IP addresses are not public, but they are provided to internet service providers in very large blocks. There is no way for them to connect a person with the IP address unless your service provider gives it to them. That's why copyright owners have to go to the service provider to find out who downloaded copyright movies. They can find out the IP belongs to Cox cable (my provider) in Henderson, NV for example but after that they are out of luck. Service providers have agreed to not release them without a subpoena. It's like having an unlisted phone number.

Google "IP lookup" and you'll find your own ID and how far it can be traced from lots of free services out there.

Certainly.

Why would you think you have a privacy interest in IP addresses? Attorneys can collect IP addresses, residential address, email addresses or any other such information.

No. If someone is telling you that, they are bluffing. And even if they could (and they cannot) consider this: Lawyers charge roughly between $200 and $1,000 per hour. Is your IP address that valuable to somebody?

IP addresses are not private

depends on where you are thinking the addresses would be accessed from