This is more of a comment than an answer, but I can't comment, so:
Browsers generally try not to change how the content is meant to be displayed, including sound. For this reason, I would be surprised if there were such a feature.
If you're trying to simply mute tabs, you could take a look at chrome://flags/#enable-tab-audio-muting
Alternatively you could use tampermonkey or a similar extension and run a search for all audio/video tags and change the volume, but you said you didn't want to search for specific elements. To my knowledge (and Google's) as of right now there is no volume control for an entire page.