I believe the MC mentioned that he's been in cryo for four years so that would mean that they barelly just exited the Solar system most likely. Considering that to even reach the closest star it would take 4.2 years to reach if we were able to travel at 100% the speed of light, which is impossible. It is theorized that we could maybe ever reach 20% of it at best but even 1% would take some insane amounts of power to make it happen, especially for a ship of that size.
So i would say he woke up pretty early all things considered, likely not even 1% of the journey has been completed yet if we assume they are going to the closest star to us which we don't know if its the case. So it could be much longer than that.
Honestly, i don't think the dev really considered how vast distances between stars actually are
I'm absolutely certain he considered interstellar travel time based on the many conversations I've had with him
If I remember correctly, the whole journey was to be long enough that MC and Selene would be near death from old age by the time the ship started awakening crew to prep for arrival (unless something happens to change the course, or they get back into cryosleep...).
Exactly how fast they are traveling, and whether or not there is a reasonable candidate planet for human colonisation within that range is something that I think is open to taking liberties with conventional physics and astronomy for story reasons.
Further evidence that this is a work of science
fiction where it is permissible to make-shit-up: The crisis point of the story so far has them approaching a black hole, with the original ship navigation plan using it for course change and gravitational acceleration. If that is occurring after just 4 years of cryosleep, then the ship must be travelling superluminally already because there sure ain't any real-universe black holes within 4LY or less that we know of.