No the blue line at damen is near by but nothing at the UC.
The short answer is no since you are coming from Indiana. I'm not sure what part of Indiana you are coming from, so not sure what train station you'd end up at, buy either way you'd need to find transport from the station to the United Center. Uber, bus or local train (El). If you take a local train from major train station you can get off pretty close.
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