Yes and no.
You cannot play it without the video in the "Now playing" section or anywhere else in Music.
Here are a couple of ways too do it out of the music app:
Play song> put to sleep> music will pause> press the wake button but don't get if out of the "slide of unlock" mode> double click the home button> then buttons will come up (play/volume/pause/next/previouse) will come up> just press play.
Play song> press home button> double click home button> then a little menu will come up> just press play.
Way number also works while using any app except in music or while watching a video.
Okay, it doesn't work exactly like that, but if you play it in the music section, click done from upper corner, go to home screen, then douple tap the home -button and click play. Now the music is palying but there's no video.
Okay, it doesn't work exactly like that, but if you play it in the music section, click done from upper corner, go to home screen, then douple tap the home -button and click play. Now the music is palying but there's no video.