It is possible to learn and work in digital marketing without a degree. There are many resources available online to help you get started, such as online courses, certification programs, and industry blogs. Some practical experience, such as internships or working on personal projects, can also be beneficial. Many employers also value real-world experience and a track record of producing results, even if you don't have a formal degree in the field.
That being said, a degree in marketing or a related field can be helpful in building a strong foundation of knowledge and understanding of marketing concepts, as well as providing you with valuable networking opportunities and credibility. It is ultimately up to you to decide what educational path is best for your goals and career aspirations.