No, it is one of two modern species not represented by the fossil record. It is called a "living fossil" because no fossils representing the Coelacanthiformes have been found in rocks from the end of the Cretaceous to the present, and before the discovery of living representatives were thought to be outright extinct. All of the fossil species are extinct, but descriptions such as "living fossil" can and do mislead people into thinking that they are an ancient species that have not evolved.
That picture is either a model or a preserved specimen, no way can a shot like that be made of a living animal.
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