Yes you can, but as people have said before it's getting more and more difficult - you need to make up for your lack of qualifications with passion, drive, determination and above all competence in the job your doing.
More and more companies have specific apprenticeship and graduate schemes which require GCSEs, A-Levels, degree etc just to get on to them. It's basically a numbers game, getting qualifications like GCSEs and A-Levels it should make it easier to get better paid jobs all things being equal.
Do you like doing stuff with your hands? Trying going into industry, skilled workers tend to command decent salaries. I worked at an oil refinery on placement and you could become and apprentice at 16. If you passed and became a fully fledged operator you could be earning £60k in 5-10 years.