No, time dilation would still occur for something traveling at the speed of light (c). According to the theory of special relativity, time dilation occurs as an object's velocity approaches the speed of light relative to an observer.
As an object approaches the speed of light, its time slows down relative to a stationary observer. However, it is impossible for any object with mass to reach or exceed the speed of light, according to our current understanding of physics. The theory of special relativity does not apply to objects traveling at the speed of light because it is not a valid frame of reference.
In the frame of reference of a photon traveling at the speed of light, time does not pass at all. This is because the speed of light is constant and independent of the observer's reference frame. From the perspective of a photon, the entire universe is contracted to a single point and time has effectively stopped.
However, this does not mean that a photon experiences zero time while traveling from one point to another. From an external observer's perspective, it takes time for light to travel a distance. This is due to the relativity of simultaneity and the fact that different observers may measure different elapsed times between events.
In summary, while time dilation does not apply to objects traveling at the speed of light, it is not possible for anything with mass to reach that speed. For objects moving at velocities close to the speed of light, time dilation still occurs, and their clocks would be observed to run slower by a stationary observer.