Sure, but I think it would be foolish to do otherwise. I was new once too, and even after I'd done my first job people were hesitant to call me back with no relevant degree and my only experience being in a small shop mostly working alone (for significantly less than the market rate, I should add). Now I managed to make my way past that gauntlet and I'm enjoying the fruits of my labors as a "senior" developer. I don't think I'm doing anything other than responding to the incentives created by the system.