Although a good writer isn’t necessarily good at copywriting, the answer is yes; a content writer can become a copywriter.
The content writing goal is to educate or entertain, while copywriters try to persuade readers to take action. However, even if a piece of content exists just to build awareness of a company, the reason behind creating it is often to sell something. So, these two writing styles sometimes interconnect, which may help content writers switch to copywriting.
