No! The two fundamental moduli are the shear modulus $G$, which is the resistance of a material to change of shape under applied forces, and the bulk modulus $K$, which is its resistance to change of volume. Young's modulus $E$ is a hybrid of the two which is only popular because it's the easiest to measure experimentally.

In general: $$G=E/(2+2\nu)$$ For most metals, Poisson's ratio $\nu=0.3$ and so: $$G=E/2.6$$ Also in general: $$K=E/(3-6\nu)$$ and so: $$K=E/1.2$$ So: $$E>K>G$$

See Wikipedia 'Elastic modulus' for lots more interrelationships between the various elastic constants.

No! The two fundamental moduli are the shear modulus $G$, which is the resistance of a material to change of shape under applied forces, and the bulk modulus $K$, which is its resistance to change of volume. Young's modulus $E$ is a hybrid of the two which is only popular because it's the easiest to measure experimentally.

In general: $$G=E/(2+2\nu)$$ For most metals, Poisson's ratio $\nu=0.3$ and so: $$G=E/2.6$$ Also in general: $$K=E/(3-6\nu)$$ and so: $$K=E/1.2$$ So: $$E>K>G$$ For steel, the most common structural metal, in $GPa$: $$E=200, K=160, G=80$$

See Wikipedia 'Elastic modulus' for lots more interrelationships between the various elastic constants.