If you have some experience you can point to, say contributions to open source projects, your own personal website (that isn't just a generic blog site) or maybe some volunteering for a non-profit or something like that, you can get around it. Well, I guess it depends geographically where you are as well as what sort of position you're applying for.
Maybe also consider getting your foot in the door via QA?
Maybe also consider getting your foot in the door via QA?