I do not think so, not natively at any rate.
It should be possible through GDNative or a C++ module, but I have no idea how simple or hard of a task it would be. In theory, it may be possible to work with the Spotify API and stream the music over the internet using a byte stream or something, but I have no experience with this personally. Additionally, something to consider is that there may be legal stuff that would need to be taken into account and adhered to when using songs from Spotify.