“Edgy” and “nervous” do not mean the same thing. “Nervous” is an adjective describing an emotion (“worried and anxious”), and if that emotion is typical for a person, it describes a part of their personality. “She has a nervous disposition” is an old-fashioned way of saying that someone has anxiety.
“Edgy” is an adjective describing something that (and by extension, someone who) challenges conventional thinking, who acts “on the edge”, and that provokes a reaction from
Art can be edgy; this is almost a requirement of modern art. But art cannot be “nervous”. A horse or a dog can be nervous; they can’t be edgy.
A person can be both edgy and nervous — at least grammatically. But mostly being “edgy” is a deliberate, confident choice. It’s not usually how you describe a nervous person.