The distance we can see with current technology is not limited by the speed of light but rather by the age of the universe and the observable universe's expansion. The observable universe is the portion of the universe that is visible to us based on the finite speed of light and the age of the universe.
The current estimate for the age of the universe is about 13.8 billion years. This means that the farthest objects we can observe are those whose light has had enough time to reach us within that timeframe. As light travels at a constant speed of approximately 299,792 kilometers per second (or about 186,282 miles per second), the observable universe has a radius of about 46.5 billion light-years.
However, it's important to note that the universe is expanding, which means that the distance to objects that were once in our observable universe is now greater than the speed of light could traverse within the age of the universe. This expansion limits our ability to observe objects beyond a certain distance.
As for your question about traveling at the speed of light, it's important to understand that objects with mass cannot reach or exceed the speed of light according to our current understanding of physics. The theory of relativity postulates that as an object with mass accelerates, its energy and mass increase, requiring an infinite amount of energy to reach the speed of light. Therefore, it is not possible for us to travel at the speed of light based on our current knowledge.
Additionally, time dilation occurs as objects approach the speed of light, which means that time would pass more slowly for a traveler at high speeds relative to an observer at rest. This effect prevents us from making accurate estimations of travel times based solely on the speed of light.