Depends on what time of year. If there isn't a baseball game, and it isn't between Thanksgiving and Christmas, then the answer is generally no, but you can hop on the Red line right there at the stadium and go downtown.
(I mention Thanksgiving and Christmas because during that time they have a little Christkindle market in that little field by the stadium. It's not much compared to the one downtown, but it's something. Might have an ice skating rink there in the winter.)
If the weather's nice you can walk over to the lake and go for a walk. There are a few restaurants as you walk towards downtown along the lake where you can stop and get some food/drink and enjoy the view.
I heard that on some Friday or Saturday nights they have some craft breweries set up shop in that field for a mini-beerfest if there isn't a home game.
If you have 6-7 hours I'd recommend getting on the Red line and going downtown and check out one of the museums. Not a whole lot to do around the stadium outside of bars/restaurants.