I don't think so.
www.opencarry.org lists Illinois as a rural open carry state only (such as California) because of the following statutes.
You can't "carry" it in your vehicle, and you can't open carry within the limits of an incorporated city, town or village. And there might be Chicago city ordinances that prohibit it. Illinois does not have state pre-emption.
(720 ILCS 5/Art. 24 heading)
ARTICLE 24. DEADLY WEAPONS
(720 ILCS 5/24‑1) (from Ch. 38, par. 24‑1)
Sec. 24‑1. Unlawful Use of Weapons.
(a) A person commits the offense of unlawful use of weapons when he knowingly:
(4) Carries or possesses
in any vehicle or concealed
on or about his person except when on his land or in his own abode or fixed place of business any pistol, revolver, stun gun or taser or other firearm, except that this subsection (a) (4) does not apply to or affect transportation of weapons that meet one of the following conditions:
(i) are broken down in a non‑functioning state;
or
(ii) are not immediately accessible; or
(iii) are unloaded and enclosed in a case,
firearm carrying box, shipping box, or other container by a person who has been issued a currently valid Firearm Owner's Identification Card
(10)
Carries or possesses on or about his person,
upon any public street, alley, or other public lands
within the corporate limits of a city, village or incorporated town, except when an invitee thereon or therein, for the purpose of the display of such weapon or the lawful commerce in weapons, or except when on his land or in his own abode or fixed place of business, any pistol, revolver, stun gun or taser or other firearm, except that this subsection (a) (10) does not apply to or affect transportation of weapons that meet one of the following conditions:
(i) are broken down in a non‑functioning state;
or
(ii) are not immediately accessible; or
(iii) are unloaded and enclosed in a case,
firearm carrying box, shipping box, or other container by a person who has been issued a currently valid Firearm Owner's Identification Card.