The answer is no. It is ready to verify that the poloidal magnetic flux function Ψ = Ψp∕2π given by Eq. (350) is not a solution to the GS equation (583) even if the plasma pressure in the GS equation is set to zero. The above expression is a solution to the GS equation in the limit of infinite aspect ratio and zero plasma pressure. The finite aspect ratio and plasma pressure requires the magnetic surfaces to have the Shafranov shift in order to satisfy the GS equation (see Sec. A.13).