Yes, according to the theory of relativity, if you are traveling at speeds close to the speed of light relative to an observer, their clock would appear to tick faster from your perspective. This is a consequence of the phenomenon known as time dilation.
Time dilation occurs due to the relative motion between two observers. When you are moving at high speeds relative to an observer, their perception of time appears to be faster compared to your own perception. This means that the observer's clock would seem to tick faster as observed by you.
It's important to note that both observers would consider their own local time as normal and unchanged. Time dilation is a relative effect based on the relative motion between observers. Each observer would observe the other's clock as running slower or faster depending on their relative motion.
This effect has been experimentally confirmed through various experiments, including high-precision measurements using atomic clocks. However, it is typically only significant at extremely high speeds close to the speed of light or in the presence of strong gravitational fields.
So, in summary, if you were traveling at speeds close to the speed of light, an observer at rest would perceive their own clock as ticking normally while observing your clock as ticking slower. Conversely, you would perceive their clock as ticking faster while perceiving your own clock as ticking normally.