Yes, according to the theory of special relativity proposed by Albert Einstein, traveling at speeds close to the speed of light can indeed alter the flow of time. One of the key principles of special relativity is that the laws of physics are the same for all observers moving at constant speeds relative to each other.
According to this theory, as an object approaches the speed of light, time dilation occurs, which means that time appears to pass more slowly for the moving object relative to a stationary observer. From the perspective of the moving object, time would seem to pass normally, but for the stationary observer, time would appear to slow down for the moving object.
This effect becomes more pronounced as the speed of the object approaches the speed of light. As the object's speed increases, the time dilation factor also increases, causing time to slow down even further relative to the stationary observer. However, it's important to note that reaching the exact speed of light is not possible for massive objects, according to our current understanding of physics.
The phenomenon of time dilation has been experimentally confirmed through various experiments, such as with high-speed particles in particle accelerators and through measurements using synchronized atomic clocks on fast-moving airplanes.
In summary, traveling at speeds close to the speed of light can alter the flow of time, resulting in time dilation, as described by the theory of special relativity.