I lean toward most certainly yes!!
I must adamantly also point out that song or music will induce, provoke, produce a mood too. For instance I began researching this question as a Hub Idea. I thought I would seek songs to review that produce feelings for me (Subjective). I wanted to find those that may lead me on an objective journey. My quest was an informational article.
(*** This journey began as I listened to my programmed Pandora station. I wandered seeking . . . something to write about. Shared are some songs encountered.)
So, I began to research first. Familiar with Plutchik's Wheel of Emotions I sought happiness and sadness. It seems with his psychological theory within that wheel there is sadness. It is a secondary emotion of three levels. Its polar opposite is Joy. Following are those levels with the root emotion first:
Ecstasy ←→ Grief
Joy ←→ Sadness
Pensiveness ←→ Serenity
Researching a bit and a byte I learned emotions follow feelings. In other words emotions are cognitive or a product of thoughts. Another way to look at it is feelings are hurt and then one experiences the emotion sadness and its inverse as well.
Another element is feelings are both experienced and perceived. There is a present and past form. Or, one can remember sadness or joy. Perception is to become aware of something through the senses (hearing?). It also "is the interpretation one gives through her/his awareness". Another view is as insight or intuitive. Perhaps the mundane radio broadcast is broken by 'Bridge of Sighs' by Robin Trower. A memory is conjured . . .
With perceptions comes perspective (Cognitive). Perspective has meaning being a point of view. "It is a framework that we use to look at things". One might ponder not only the song itself but the circumstances or environment at the time of listening - past ('memory) or present. For instance on a long drive across an isolated desert floor. An effervescent moon casts outstretched arms toward you. Abruptly a song comes . . . 'Radar Love' by Golden Earring.
Next, curious I sought a philosophical approach seeking the soul. Seems logical since a soul mate may be a focus or lack there of. That led toward pondering the heart. I was sitting before a desk thinking about "Do Love songs make people happy or sad". Suddenly, like a glass vase shattering upon a tiled floor arrives 'A Time for Us' by Loreena Mckennit.
Now . . . Well . . . I suggest seek discovery and then possibly write about it. For me . . . ??