The item doesn't say KDF-only, but it is the same as the C-Store version:
Note: Purchase of this option is a single item unlock. If you discard, sell, trade, or auction a Targ Pet you WILL NOT be able to claim a free replacement from the C-Store. Once the item is unpacked from your inventory it will be bound to you. This purchase is only available to Klingon Empire characters.
I agree that it should be clarified on the item itself or made faction-neutral.
By the way, all Fed targs are from the One Year Anniversary event (Q's fountain).