Of course, just as there is a Genesis Dragon, there are also Genesis Humans and Genesis beings of other races.
All Genesis beings—those who were the first of their kind to manifest based on the Existential Concepts of the boundless cosmos—are recognized by specific titles within their respective worlds.
For example, Genesis Humans in Labh Salem are referred to as Aadem and Aeva, while Genesis Dragons are called Tarragon and Terragonia.
Essentially, these beings are the first ancestors of their species within a particular world—the original specimens of their respective races, born from Existential Concepts.
That said, I don't know much about the Genesis Dragon himself. I only know that he fathered Valys before leaving Labh Salem forever. He later ascended to Immortality and established his faith in some lesser worlds.