That's why you usually do not start there. Google might require a degree, but your local hairdresser does not ask for one as long as you can create his website. Then move your way up from there. After several years recruiters will be more interested in your experience, projects and contributions than your non existing degree.
EDIT: other options include working at startups/smaller companies, contributing to open source to get social validation of your abilities, learning some skills through coursera/online courses, ...