It does. To be honest, I don't know how I'd phrase "on the edge of the barbecue". "Στην απέξω μεριά"?
We also use "περιφέρεια" for the circumference of a circle so I could say "στην περιφέρεια της ψησταριάς" to make a nerdy joke... but that supports your point.
We don't really use "periphery" for the circumference in Greek, we use "perimeter". Periphery refers to something outside the object you're describing, whereas perimeter is right at the edge of the object, but usually belonging to it.
