Can I obtain a working visa to work in China?

Yes, sure. China work visa requires at lest a bachelor degree with two years or more working experience. But in order to apply for a work visa to China, you need first get a Permit for Foreign Experts Working in China(original) issued by the State Bureau of Foreign Experts and a visa notification form issued by an authorized unit in China (original). I know most are working in China as English teachers. So, search online and if you find a job position in China, your employer is able to apply for you these documents for work visa application.