I also attended a community college prior to transferring to a 4 year university. I believe it's all in the effort you put in. Top Universities have name recognition on their side, so if you attend a top university you do not have to put as much effort into this process. IMO.
I had several professors at my community college who had contacts in our local industry and knew several peers who landed internships through those connections. However, they were all local tech firms or local agencies looking for technical interns.
A community college is still an accredited educational institution, so you'll meet the requirements. I also suggest attending Meetups, User Groups, and Hackathons.
There's an old saying, "It's not what you know, it's who you know." The more you are able to network and get your name out there the better off you'll be.