Yes, someone in free fall would experience time dilation relative to a far observer who is outside the gravitational field. This effect is known as gravitational time dilation and is a consequence of general relativity.
According to general relativity, the presence of a gravitational field warps spacetime, and this warping affects the flow of time. The stronger the gravitational field, the more time dilation occurs. In the case of a person in free fall, they are in a state of apparent weightlessness because they are in a gravitational free-fall trajectory, falling under the influence of gravity without any other forces acting on them. From their perspective, they are freely moving through spacetime.
Relative to a far observer who is outside the gravitational field, time would appear to pass more slowly for the person in free fall. This means that clocks in the free-falling frame of reference would appear to tick slower compared to clocks in the observer's frame of reference.
This effect has been confirmed through experiments and observations, such as the famous Pound-Rebka experiment, where gamma-ray photons were emitted from a lower altitude and detected at a higher altitude. The measured frequency shift of the photons provided evidence for gravitational time dilation.
It's worth noting that this gravitational time dilation is different from the time dilation that occurs due to relative motion in special relativity. In the case of gravitational time dilation, the effect is due to the curvature of spacetime caused by gravity, whereas the time dilation in special relativity is related to relative motion between observers.