No. A degree is not a necessary requirement to become an Affiliate Marketer. It is sufficient to have completed an Affiliate Marketing course successfully. These courses are generally provided by successful affiliates worldwide in short-term formats, either online or through other modes.
Here's related information that you may find helpful - 81 Affiliate Marketing Related FAQs and Answers to see if they may help you move forward as an Affiliate Marketer with confidence.
P.S:
You are currently on the Digital Marketing Forum page; for more information on various topics that may be helpful, please visit Blog Posts (button below) and [share any content post you love] with your network.
[Your recommendations deserve a boost]
[If you have any specific questions in mind, please drop a mail and I will answer through a post at the earliest possible time]. Check this forum frequently for fresh posts.