No, it does not appear possible for you to obtain a Colorado driver's license while your Illinois license is suspended.

The Colorado's Driver Handbook lists reasons why persons who cannot be issued a CO driver's license. Here it includes:

• Any person under suspension, revocation, or denial of driving privileges in this or any other state.
• Any person who has unpaid fines or outstanding judgments for traffic violations.

Colorado, and all other states, check the National Drivers Registry (NDR) when a person applies for a driver's license. The NDR is a central database of information on problems drivers, meaning motorists whose license is revoked, suspended, canceled or denied or has been convicted of a serious traffic related offense.

All 51 US jurisdictions provide information to the NDR and can search the database for information on drivers applying for a driver's license. So if you are moving and want to obtain a license you will first need to get your driving privileges reinstated in Illinois.