If you mean can a person supply sufficient pressure to raise the temperature of the water to its boiling point, the answer is no. Water is relatively incompressible. It takes an extraordinary amount of pressure to raise its temperature just a few degrees.
The person could, of course, turn the paddle wheel instead of using the weight and achieve the same result as the Joule experiment, which is to only raise the temperature a few degrees.
The relevant equation in the Joule experiment start with the first law of thermodynamics
Where $\Delta U$ = the change in internal energy of the water. In this case
$$\Delta U= mC\Delta T$$
where $m$ is the mass of the water, $C$ is its specific heat, and $\Delta T$ is the increase in temperature.
$Q$ = the heat transfer between the water and surroundings, and is positive if heat transfers to the water. In this experiment, $Q=0$ because the water is not heated.
$W$ = the work done, and is negative when work is done on the water. In this case, it is the paddle work done on the water, sometimes referred to as shaft work.
So we have
Since the shaft work done equals the loss of potential energy of the weight. If the weight drops a height $h$, then
Where $M$ is the mass of the weight, and $g$ is the acceleration due to gravity.
All the above ignores the heat capacity of the vessel, heat losses through the vessel walls, and any friction in the apparatus.
Hope this helps.