I had zero personal contacts and connections and received 3 internship offers after my sophomore year with zero experience. After my junior year I received 6 offers and turned down another 8 interviews.
That said, competition is fierce. But I've noticed a majority of students don't take career day seriously. Have a good resume, talk to people, attend info sessions, write thank you notes and probably most importantly(if you have no experience), have a good GPA. Once you get that first internship, it's all downhill from there.