I wouldn't chance it. Also not sure if it is worth a cab ride and back (have the cab wait, you may not find one back so easily). All that said, I don't know what your pressing needs are and, if you must, according to Google.com the nearest one appears to be
Radio Shack
The Oaks Shopping Center, 1587 Lee St, Des Plaines, IL
(847) 298-9240
About 7-8 miles and 15 minutes trip
each way, assuming good traffic conditions. Plan on the whole thing taking 1 hour. Call them to make sure they are open and have what you want.
BTW, what
do you want?

Does it have to Radio Shack? Maybe there are more convenient options. There is an Office Depot somewhat closer:
Office Depot
7100 Mannheim Road, Rosemont, IL
(847) 759-1088
Good luck.