HyperlinkSSS? How many?
One hyperlink is probably doable. Multiple hyperlinks from a single image? I doubt it.
Multiple links on a single image is handle via an image map. You don't mention what version of Outlook, but a quick google of Iimage map in Outlook shows that is it not supported by Microsoft, but that some people have made it work by slicing the image into pieces and adding a URL to each slice.
There is a slice tool in Illustrator, but then you'll have to head to the Microsoft forums. We won't be able to offer much help on Microsoft products.