No. Both Maryland and Chicago are in the Eastern Time Zone (ET) during standard time and Eastern Daylight Time (EDT) during daylight saving (March–November).
There is no time difference between them. When it is 12:00 PM in Baltimore, it is 12:00 PM in Chicago.
(Note: Chicago is geographically west of the Eastern Time Zone boundary, but has observed Eastern Time since 1936 for economic ties to the East Coast.)