Yes, its possible with luck. Near me a consulting firm opened up an "on shore" development center and hired like 50 people at once. Since it is a small town they accepted a ton of people. But even people with degrees were not that great at programming. So just know how to program (don't worry about writing sorting methods, wtf lol)
If you can run WAMP/LAMP and get PHP talking to your DB and back, thats a good sign.
For reference, I started at 35k and was at 45k after two years. Pretty low for a programmer, but no degree and no previous experience, and I was good enough at it.