Yes!
The web hosting service I use is 1and1, (I saw your question about the other 2 companies you were asking about in this forum but I don't know those so I didn't want to post in that thread) you can check them out through the link in my signature (for some reason I can't use html properly in the forums today..) they're pretty easy to use, and from what I've seen many people here on this forum have eshops and they support ecommerce solutions (although my site is a personal blog).