Yes, there actually are real pomfret, but the fish called "Pomfret" in the market aren't. They're Butterfish and Pompano. The "Black Pomfret" sold in fish markets is actually a Pompano, but there is a real Black Pomfret (Taractes rubescens). There's also Atlantic Pomfret (Brama brama) and Pacific Pomfret (Brama japonica).
More on Varieties of Fish
(very large page).
This is a real Pomfret, not something just called "Pomfret" - and a very
strange fish it is. It infests most of the Pacific, from Vietnam to
Peru, from Alaska to below Peru. It stays near the surface, but also
stays well offshore. It can grow to 24 inches TL (total length) and 6
pounds, but the photo specimen was 16-3/4 TL and weighed 1 pound 7-14
ounces. This is a difficult fish to deal with, but we have methods on
our Details and Cooking page.
This is an Indo-Pacific fish found from Madagascar through Indonesia, on east to Hawaii and Southern California. It ranges from as far north as Japan and as far south as the North Island of New Zealand, but always stays within the edge of the continental shelf. In Hawaii, it is popular in restaurants under the name Monchong. It can grow to 24 inches TL (total length). Note the trailing edge of the tail fin is white or translucent on this fish. IUCN NE (Not Evaluated). Photo by T. A. Zaidi (sharpened, color balanced and isolated for better shape definition, and to remove filthy rag) distributed under license Creative Commons Attribution-ShareAlike v3.0 Unported.
This fish is found in the Atlantic from Iceland south to Patagonia, in
the Indian Ocean, and in the South Pacific, worldwide, but especially
around Australia and New Zealand. It can grow to 39 inches and 13 pounds,
but the photo specimen was 20 inches, a more common size. It resides
near the surface and only occasionally approaches the shoreline. It is
usually bycatch from other fisheries, especially in South Africa, where
it is marketed as "Angelfish", which it is not. IUCN LC (Least Concern).
Photo by Hamid Badar Osmany distributed under license
Creative Commons
Attribution-ShareAlike v3.0 Unported.