Are their any requirements to publish an article in a journal without a degree in the field? If so, what are they?
I was curious if people in general can publish in an journal when they have not obtained a degree in the field.
No editor will care (or for that matter could know) about your degree. What matters is the contents of the submission, and if it meets the standard of the journal. There are plenty of chemists or electrical engineers who publish in physics journal, plenty of physicists who publish in chemistry or engineering or math journals.
Yes, you can publish provided that the editor and the reviewers accept your paper, perhaps after revision. There are no "credentialing" requirements to publish in a field.
Some people are just self taught and rise to a high level. It is true, however, that the reviewers may look at your lack of degree and decide to be extra vigilant. But they should be vigilant with new degree candidates as well. Actually they should just be vigilant, of course.
There are some fields, however, that in some places you need to be careful about. But that is more about how you present yourself than what you write. For example, in some places it is illegal to call yourself an "engineer" without a degree and, perhaps, a license.