The confusion related to work done by the normal force from the ground on the person, can be resolved by distinguishing between the motion of the center of mass of a system of particles, and the overall energy balance for the system of particles.
For a point particle, $\vec F = m \vec a$, and $\int \vec F \cdot d \vec s =\Delta KE$, where $\vec F$ is the net force on the particle, m is the mass of the particle, $\vec a$ is the acceleration of the particle, $\vec s$ is the displacement of the particle, and $\Delta KE$ is the change in kinetic energy of the particle.
As developed in physics mechanics texts, for a system of particles, the motion of the system can be considered as two separate motions: (1) that of the center of mass (CM), and (2) that of the particles in the system with respect to the CM. For motion of the CM, $\vec F_{ext} = M \vec a_{CM}$, and $\int \vec F_{ext} \cdot d \vec s_{CM} = \Delta KE_{CM}$, where $\vec F_{ext}$ is the net external force on the system, M is the total mass of the system, $\vec a_{CM}$ is the acceleration of the center of mass, $\vec s_{CM}$ is the displacement of the CM, and $\Delta KE_{CM}$ is the change in kinetic energy of the CM. That is, the motion of the CM is obtained by treating the CM as a point particle. Just as for a point particle, for the CM, $\int \vec F_{ext} \cdot d \vec s_{CM} = \Delta KE_{CM}$, but not all the external forces are associated with work using the general thermodynamics definition of work; the name pseudowork is sometimes used for such cases. Discussions of the concept of pseudowork can be found online. In such developments work is reserved to mean work in the thermodynamics sense, and that convention is used in the following discussion of jumping.
An example of pseudowork is the effect of the normal force from the ground on a person jumping. This is discussed in an article by Arons, available online. [Development of energy concepts in introductory physics courses: American Journal of Physics: Vol 67, No 12 , A.B Arons] The following discussion is from that reference. For the CM of the jumping person initially at rest, let M denote the mass of the person, $\bar N$ denote the average normal force of the ground on the person, and $\Delta h_{CM}$ the change in the difference of the height of the CM at the instant the feet leave the ground. For the CM treated as a point particle, $(\bar N - mg) \Delta h_{CM} = {1 \over 2} m v_{CM \space f}^2 $ where $v_{CM \space f}$ is the velocity when the person just leaves the ground; $-mg\Delta h_{CM}$ is the work done by the force of gravity. $\bar N\Delta h_{CM}$ is not work in the thermodynamics sense because there is no relative displacement at the point where the normal force N is applied (unlike gravity, $\bar N$ does not act over a displacement distance), but in the context of the CM treated as a particle, $\bar N$ does pseudowork, because it changes the kinetic energy of the CM. Applying the first law of thermodynamics to the person as a closed system, $Q + W = 0 = \Delta U + {1 \over 2} Mv_f^2 + mg \Delta h_{CM}$, or $-\Delta U = {1 \over 2} Mv_f^2 + mg \Delta h_{CM}$, where the work by gravity is considered as the negative of the change in potential energy; $\bar N$ does no work. $\Delta U = U_{final} - U_{initial}$ is negative for this situation, and the internal energy of the person decreases to increase the KE and PE of the CM of the system. This decrease in internal energy is due to the “burning” of calories to provide energy for the jump.
$-\Delta U = \bar N\Delta h_{CM}$; the decrease in internal energy from the energy point of view is equal to the pseudowork from the CM point particle point of view.
In conclusion, for the person jumping off the ground, the normal force on the person from the ground does no work, but from the viewpoint of the motion of the center of mass of the person the normal force can be considered to do pseudowork.
