No, gravitational time dilation does not occur in a static and uniform gravitational field. Gravitational time dilation refers to the phenomenon where time appears to pass differently in regions with different gravitational potentials. In the presence of a massive object or a gravitational field, time runs slower for an observer in a stronger gravitational field compared to an observer in a weaker gravitational field.
However, in a static and uniform gravitational field, such as the field near a spherically symmetric object with a constant mass distribution, there is no variation in the gravitational potential. In this case, time dilation does not occur because the gravitational field is the same at all points within that field.
Gravitational time dilation becomes significant when there is a variation in the gravitational potential, such as near a massive object or in a region with varying gravitational fields, such as near a black hole or in the vicinity of a massive star. In these situations, the difference in gravitational potential between two observers leads to a measurable difference in the passage of time for each observer.
In summary, gravitational time dilation occurs in non-uniform gravitational fields where there is a variation in the gravitational potential, but it does not occur in a static and uniform gravitational field where the gravitational potential is constant.