No, energy as work cannot be transferred to the fluid.
The change in internal energy of the fluid is 0.
Explanation:
Work is dW = -P dV.
The fluid is incompressible, so dV = 0. If there is no change in volume of the fluid, no work can be done. dW = 0.
Internal energy is dE = Q + W.
The work is zero. Since the piston is insulated, the heat transferred is also zero. If Q = 0 and W = 0, then the change in internal energy of the fluid dE is also zero.
