Creating an RSS feed for a static site shouldn't be too hard. It's just an XML file with a few elements for each link. Hence you can either write it by hand in notepad, etc or use an XML editor. The main problem would be keeping it updated I guess, but being a static site that should be less of an issue in itself.
That's just the first result from a google search, there are lots of free services that do it - look around. There was an awesome one I used a couple of years back that let you select elements from a page visually and create your feed based on the selections, but I can't for the life of me remember the URL. Will reply if it comes back to me.