Faster than light speed will never be possible, ever. The best you’ll be able to do is maybe 1/10th the speed of light given an enormous amount of propellant, and then you’ll have to slow down at the end of the trip using just as much fuel as it took you to go that fast in the first place. There will be no warp drive or something that folds space. These are all convenience devices for story telling on science fiction movies.
Maybe in 200 or 300 years generational space environments will be the way to travel to other planetary systems. A generational space environment is a huge ship that rotates for a sense of gravity inside, where whole generations are born and die over hundreds of years – often resenting that their ancestors trapped them on that ship – to reach far away places.
Your given time frame of 100 years from now is not very far away in the bigger picture, but having a huge telescope on the far side of the moon is possible and would help with astronomical observations.