Are moment of resistance and section modulus the same?

Yes, it is.

Moment of resistance, usually denoted as W is a term in structural engineering. It is found from the moment of inertia I and the distance from the outside of the object concerned to its major axis e. W = I/e

It is used in structural calculations since the stress can be written as stress=moment/W

Section modulus (Rigidity) : The ratio of moment of Inertia of the section (I) to the distance from it neutral axis to the most remote fiber (c)

I am not an engineer and I never studied any of this properly, but as far as I can see, it's two names for the same thing.

I was able to calculate successfully the moment of resistance from the (moment of inertia) / (distance from the outside of the section (on the same x/y axis) to the center)

which means I must be getting it right.