Can someone apply for a Masters in Computer Science having two years Associate degree and professional experince in programing If someone has a associate's degree with relevant courses (math and physics) and more than 10 years of (verifiable) programming experience, is it generally possible to apply for graduate admission at a good international university?
Generally, in most places, you can apply to a program. But that doesn't mean that you will necessarily be admitted. In some places a bachelor's degree might be required for graduate study, but in those places, I assume that exceptions can be made but only for exceptional cases. 

For any application, for an academic program or for a job, you will need to make your own case as to your suitability and likelihood of success. But even then, you can expect a lot of competition, most of it from people whose qualifications are easier to evaluate. So you need a strong case. 

In particular, without an undergraduate degree, people will suspect that there are gaps in your education. Being a "programmer" doesn't, of itself, fill any of those gaps. So you will either need to demonstrate competence, or obtain it to be successful.