

No it’s not. I have both published in a variety of scientific journals, reviewed for a couple journals, and turned down reviews for a couple journals.
No journal checks your “review history” before allowing you to publish. However, if you consistently turn down reviews from a journal, the editor is likely going to get annoyed and you will probably have a harder time publishing in that journal in the future.
Good point, I’ll moderate myself and just state that I’ve never experienced it being a hard requirement in my field.