Hey @Feliciagruvborg! Welcome to the Spotify Community. ^^
Yes, you can do that.
Try following these steps:
- Select (CTRL + A) all songs from the playlist you wanna copy
- Copy all your songs (CTRL + C)
- Create an new playlist (CTRL + N)
- Paste your songs into the new playlist (CTRL + V)
Let me know if that helps, thanks! ^^
Peace