Magnetic field of a coil composed of stacked coils
The answer is yes. It is also the same as if you just have one solid ring (or tube) of copper with the combined current of all your N single coils flowing through it.

What the coil with n-turns lets you do is not require an unreasonably low voltage by increasing resistance or an unreasonably high current by "double dipping" or concentrating the the magnetic field of the same current flow.