No. All expansions work with the first edition. The only major change you would benefit from are the updated rules. You can download those for free at
Illimat second edition comes with a change in the type of card stock we used in the playing cards, a new Okus token that replaces the Boat token, and several changes in the rules. Find out more in our post about the changeshereandhere.An view and download a free PDF of Illimat Second rules here.