It's possible, but the difficulty comes when talking about how the station has things set up.
SFSE source code leak for you:
One example:
case 7: PlayAudioStreamForPlayer(p->ID, "
http://listen.technobase.fm/dsl.pls"
Another example:
case 16: PlayAudioStreamForPlayer(p->ID, "
http://lounge-high.rautemusik.fm"
Notice how if you input those links in your web browser, the player is embedded right there for you to play in the case of rautemusik.fm, or as a stream that the server can read in the case of technobase.fm
In the case of hit104,
https://fility.com/hit-104/ isn't something that the server can understand. If you can find the stream URL, that changes things. It might be in the web page source code somewhere.