I work as a Program Manager and the HR dept reports to me. I've worked on multiple large projects and recruited whole project teams for multi-million dollar projects. Just telling you this because I actaully know what I'm talking about.
If you want to get a job without a degree - thats cool - no problem.
Here is a great tip - when you put your application in...actually ring the agency up and introduce yourself and have an open and honest chat about the position you applied for. Very few people actually do this.
Once you have a job - work hard and take an interest in the company and by respectful of other people. Be aware of your experience and take full responsibility of tasks assigned to you. Follow up with people and ask for feedback on your performance. After quite a few years of working like this you will find yourself moving up the ladder.