Yes. I started off learning PHP/JS/HTML/CSS in my own time. It took me 6 months and I got my first webdev job.
You have probably heard that it takes 10,000 hours to master a craft. That's about right. I realised that without going to university I was probably missing about 6,000 hours (4 years?) of experience. So I worked double overtime and built products so that I could get 6k hours under my belt.
Then in the job interviews I said "Look what I've built"
My lack of degree has instilled an exceptionally strong work ethic, because I'm constantly trying to prove myself. I'm always over compensating my learning new things and having a real drive and hunger for development.
I'm now a tech lead at a developer company. I have an iPhone app in the app store (Insider Guide), 2 weeks ago I setup a Java (Red5) video server for live broadcasts for a billion dollar company. In my spare time I'm working on a Python ( + websockets) prediction engine.
You can get a job without a degree, but you gotta do the same amount of work.
Good luck friend, never, never, never give up