Yes you can, might wear faster and your shifting may be a little slower.
From Sheldon:
Chain As you go to more sprockets on the cassette, you need a narrower chain. However, using a narrower chain with an older system rarely presents any problem. Thus, you can use a "9-speed" chain with a 7-speed or 8-speed system, or a "10-speed" chain with a 9-speed system. Since the chains designated for more gears are usually more expensive and don't last as long, this is not the ideal approach, but it's perfectly workable.