# Does electric field generated by changing magnetic flux generate an opposing magnetic field?

According to Faraday's law a changing flux through a loop will create an Electric-field curling around that loop. And if the loop is a conducting wire the current looping will create an opposing magnetic field as below(Lenz):

But what if there is no wire and no current but just the circulating/looping Electric-filed around an imaginary loop? Would that Electric field generate an opposing magnetic filed as well?

$$\nabla\times\mathbf{B}=\mu_0\mathbf{J}+\mu_0\epsilon_0\frac{\partial\mathbf{E}}{\partial t}$$
Even when $\mathbf{J}=0$, we still could have nonzero $\frac{\partial\mathbf{E}}{\partial t}$, which generates a magnetic field. Without this correction, propagation of electromagnetic waves would be impossible.