Yes, according to the theory of special relativity, if you are traveling near the speed of light relative to an observer at rest, their clock will appear to be ticking faster from your perspective.
The concept of time dilation in special relativity is symmetrical, meaning that each observer perceives the other's clock to be ticking slower. This is known as the relativity of simultaneity and arises due to the relative motion between observers.
To illustrate this, let's consider two observers: Observer A (you) and Observer B (the observer at rest). If Observer A is moving near the speed of light relative to Observer B, both observers will perceive time to pass differently for each other.
From Observer B's perspective (the observer at rest), they will see your clock (Observer A's clock) ticking slower due to your high relative velocity. This time dilation effect is a consequence of your motion and the constant speed of light.
On the other hand, from your perspective as Observer A, you will see Observer B's clock ticking faster. This is because, in your frame of reference, Observer B is the one moving at a high velocity, and as a result, time appears to pass more quickly for them compared to yourself.
This mutual observation of time dilation is a fundamental aspect of special relativity. It emphasizes that the perception of time depends on the relative motion between observers and that both observers will see each other's clocks ticking slower.