Yes, time dilation is present on Earth due to its gravitational field. According to the theory of general relativity, the presence of mass and gravity causes a curvature of spacetime, which in turn affects the flow of time. This effect leads to time dilation, where time runs at different rates depending on the strength of the gravitational field.
On Earth, the gravitational field is not as extreme as near massive objects like black holes, but it still has a measurable impact on time. As a result, clocks closer to Earth's surface, where the gravitational field is stronger, tick slightly slower compared to clocks at higher altitudes where the gravitational field is weaker.
This phenomenon has been experimentally verified using highly precise atomic clocks. For example, atomic clocks placed at different altitudes have shown measurable differences in the passage of time. Clocks at higher altitudes, such as on GPS satellites, tick slightly faster than clocks on the Earth's surface.
While the time dilation effect on Earth is relatively small and not easily perceptible in everyday life, it is an important factor to consider in applications where high precision timing is crucial, such as satellite navigation systems and scientific experiments.