Can I be sued for libel if I don't live in the state that is suing me.

It depends if the alleged "libel" action took place in the State where you are being sued.

I assume you mean that you do not live in the state where you are being sued. There are two kinds of in personam jurisdiction. One is general and the other is specific. General jurisdiction will be found if you live or work in the state or have other on going and contiuous activities in the state. Specific jurisdiction generally involves the application of what is known as a state's long arm statute. A libel is a tort. If the harm that a libel does occurs in the state where the suit is pending, even though you do not live there, you may have to answer for it there. Certainly so, if you committed the libel in that state. On the other hand, if you were in another state when you committed it, many facts would have to be considered. For example, it would be relevant if it were on the computer, by mail, in a newspaper etc. In addition, your other contacts with that state are going to be important. You need to consult an attorney and provide more information than you have done in your question. In short, living in another state may not get you off the hook.