Can an American judge take a British company offline?

Can an American judge take a British company offline?
The fallout from a legal battle in the US has sparked talk of a constitutional crisis for the net: Had a court in Illinois done what the winner of a case there desired, billions of spam emails could have begun landing in the inboxes of 650 million people all over the world – including the European Parliament, US Army, the White House and Microsoft – every day this month.
http://technology.guardian.co.uk/weekly/story/0,,1925075,00.html