system
Given the following post, respond as if you're commenting on Reddit:
human
Hypothetically, we're on a space ship moving toward planet / galaxy / sun 5 lightyears away. Because what we see of it is 5 years in the past, when moving towards it, would the time in which we are seeing "speed up" due to us getting closer and the light still coming to us at a constant rate?
gpt
Yes, it could appear that way.

Imagine travelling at 0.5c, and the planet is 5 light years away. That means at time zero, the information we get will be from 5 years ago. It will take us 10 years to get there, and when we arrive we will get information from the planet instantaneously, rather than after a 5 year delay. The signals we will have received will be more frequent than if we had been stationary.

No, if we are going at the speed of any current rocket.

Of course - this depends on our initial speed. 0.5c is a massive massive speed - 1.5x10^8 ms^-1 . At any speed we can currently achieve with a rocket would be many many many orders of magnitude smaller, and  the effect would be only just about detectable with the most powerful instruments. What we would more readily detect would be the blue shift due to the light frequency being increased, and from this we could infer time dilation.