Hello Icirwin,
You can certainly publish your site up to our servers using iWeb. In fact, we have a specific article just for publishing your site with iWeb that walks you through all the steps.
Be careful and ensure each step is correct as iWeb is a bit picky with how it uploads and can place things in the wrong folders if they are not set exactly right.
I hope this answers your question. If you have any more questions or information specific to the issue please leave a comment below so we can further assist you.
Best Regards,
Scott M