Wormholes are theoretically possible, but I believe they also require negative energy and they are so sensitive that actually putting something through it could cause it to collapse killing anyone who tried to use it.
Generation ships are a possibility, but either the ship is relatively small and you have to worry about the psychological issues of housing a band of people in tiny quarters for centuries, or else you have a ship that is so big that there's really no reason to send it anywhere. Just have it float in space and have the people stay and reproduce for eternity.
There's a guy named Isaac Arthur who has a YouTube channel where he discusses a myriad of futuristic issues with a healthy amount of scientific rigor. He is quite hopeful, but not mystical in his thoughts regarding space travel.
Thanks. Going to check out that guy’s channel.