In short, no. If say for example you see as "soup of the day" chili, then it might be soup in the style of chili with the appropriate flavors. Kinda like Nacho cheesier Doritos. Dunno... how do you even spell chile, chilli, chili? What's a soup anyway? Why are froglegs considered seafood?
WOW! I just re-read my post, and I totally made no sense in that last sentence. Too many beers before posting is not a good thing!!!
What I meant to say is that chili (or chilli) refers to a dish, which depending on where you live in the country can either be a soup or a stew. Traditionally, it is more of a stew, and if you come from Texas (home of chili), never any beans, and only stew meat, not ground beef like you often see. Here in the midwest it tends to be more soup-like and usually contains beans.
Chili (not to be confused with chile which is the pepper used to flavor chili) is a stew.
It's usually served in a soup well, right next to the soup because it's best kept hot in the same way soup is kept hot.
If one "thins out" chili with beef stock and adds, say a small pasta like tubetini, it may be referred to as a "soup." It's being stretched and flavored differently, possibly because it didn't sell as a chili.