It certainly is possible! It’s just not currently possible via the in-game UI.
Make sure you’ve got everything you want to bring with you on your character. Leave your artifacts behind; they’re stored in a separate file.
Save and exit the game.
Go into your game’s save/worldname folder and find a file with a name that looks like #Uml2ZXQ=.SAV and make a copy of it.
Generate a new world like normal.
Copy the .SAV file into the new world’s folder.
Start the game up and load the save file. Note that you won’t begin in a starting shelter, so you may find yourself someplace
FUN:bangbang: when you start out.