I bet not. I've been doing NLP for just a few months but my experience is that its fickle at best. Especially with a song that is so repetitive you'd be looking for (n) instance of (n) words.

Also, most of these videos arn't going to have human transcribed lyrics which would further increase the difficulty.

Why not just take all the data they have and throw it into a model to predict time.

On second run it looks like you're right. They have categories that have no lyrics at all.