Would any start ups be interested in having me as in intern mobile developer?

I am a freshman CS major from the midwest looking to ultimately move to the San. Fran. Bay area to work on start ups and get my self in the tech industry. Honestly, my school has a good reputation but I am at a huge disadvantage because of location. My problem is right now I don't have much experience. I have been programming in python and have done a little bit of django for a year or so. I also have worked with javascript, html, and css quite a bit. However, I really either want to do mobile development or web development. I am an android fan and am learning java in class right now. If I focused on Android development, I could actually have taken 2 Java programming classes, and a Android software engineering class by the summer. Of course most of my experience will be coming from what I do on the side. Right now I haven't built any apps yet, but I am working on building a sudoku game with a book.

So my question is, would I be able to get an internship as soon as this summer? I feel like CS students from top Cali schools would be taken first. Also, I am going out there over winter break to network. Any suggestions on how I should accomplish this? Thanks in advance.