Officially – no, however you can transfer your Liked Songs, playlists and followed friends fairly easily on a computer.
Unfortunately there’s no solution for merging the listening/taste data, as well as your personal library of two Spotify accounts. However you are able to transfer your Liked Songs, playlists and followed friends to a new account. You’ll need a computer for this one.
To keep your favourite tracks, find Liked Songs on the left panel, select all songs (CTRL + A or CMD + A) and create a playlist from this selection (right click – Add to Playlist – New Playlist).
Now your Liked Songs are in a playlist, you’ll want to make this playlist and any others you’re keeping public. Right click any playlists you want to keep in the left panel then simply click Make Public.
You’re now ready to log out of the old account and log in to the new one. Once logged in, search for spotify:user:[your old username], click PUBLIC PLAYLISTS to see a list of all the playlists you made public on the old account. Create a playlist from any of these by selecting all of the tracks and creating a new playlist (as above) on your new account. You’ll also find followed friends here under FOLLOWING and can easily re-follow.