Yes. Most students in college are at least 18 years old. This means that police will charge them as adults even if they are students. It also does not matter whether campus police investigate the alleged incident. All school security forces must report any illegal activity to the local police department.
Most arrests of college students are for minor misdemeanors. In Connecticut, this means that there is no required jail time for a conviction, but these charges still may create a permanent criminal record and could result in your child having their name, address, arrest reports, and mug shot plastered on the internet.