Variation shipping

Could we specify shipping class for product variations?

Let's say a graphic design is available as a sticker (small, lightweight, flat) and a poster (large, heavy tube). Customers don't want to scroll through multiple product listings for the same design; they want to pick out the sticker, magnet, and/or poster on the same page and add to cart. I don't want to collect sticker shipping costs for a poster. :) Thanks!