No. As classical gravity, as Maxwell theory have been incoherent, with their point sources where the force becomes infinite like $r^{-2}$. So, there are clearly solutions of these theories which cannot be realized by Nature.
But does this make above theories useless? Of course, not. Only those solutions where these infinities play a role.
Don't worry - once a theory has infinities, and GR has, then it is incorrect as a whole. But this does not make it worthless. It may be, like Newtonian gravity and Maxwell theory, a reasonable approximation, valid under a wide range of circumstances.
Of course, they will be replaced by coherent theories. Probably very different ones. The differences may be as great as between Newtonian gravity and GR. Or as between GR and my ether theory of gravity.
But don't forget that these differences, even if very big in the metaphysical, philosophical concept of the world, of what exists in reality and so on, appear almost indistinguishable in most of the experiments.
So, publishing the incoherent theories gives a lot: One can compare them with observations, and test them. So one can find out where their equations give good approximations of reality and where not. This essentially simplifies the job of those who search for the coherent theories. All I had to care developing my ether theory was that I can obtain, in some limit, the equations of Einstein's GR. This was sufficient for me to be sure that almost all the observational and experimental evidence about gravity found between 1915 and now is compatible with my ether theory too. And Einstein profited in the same way from Newtonian gravity. All he had to do was to check if there is some Newtonian limit for the equations of his theory. After this, he has been sure that his GR is able to make the correct predictions about everything where Newtonian gravity worked nicely. And he, then, could focus on that part where Newtonian gravity failed.
As long as nobody claims that a theory with infinities is a true theory, no problem arises with using incorrect, even in part incoherent, theories.