Yes. In the USA you can claim anything that you can enforce, but I don't see how it can be enforced--or even why the site owner included something that idiotic in their conditions of use. Someone should tell him or her that links and traffic are a good thing. I suspect less than 1% of web users even read conditions of use statements.
What type of site is this?
Did you link to someone and now they are complaining about it?
"Democracy is two wolves and a lamb voting on what to have for lunch. Liberty is a well-armed lamb contesting the vote." -- Benjamin Franklin