Not within the City limits. Shore Galleries is just accross the street from Chicago and most of the others are within 10 miles of the city limits. With the traffic in Chicago that could take a half hour to get to them. Some of them are retail stores only, some with shooting ranges. Oh yes I forgot Dick's they have one in Cook County (Woodfield Shopping Mall) and two outside of Cook county, they sell rifles and shotgun's only.
Illinois is weard, it is easy to obtain firearms as long as you are over 18 for rifles and 21 for hand guns, have a FOID card and the cash.
Waiting period in Illinois is 24 hrs for rifles/shootguns and 72 hrs for handguns. Cook County has a restriction on magazines (10 rounds max) but that too is strange since I purchased my last AR (OCT 2011) from Cabela's in Cook County (Hoffman Estates Store) and it came with two 30 round mags. And a CZ 75 P-01 (14 round mags) in Jan 2012.
Jim