Not from CH (yet), so you'll have to go through your own system's audio.
So in OBS, for example, I select the microphone as my audio source and give it an 150-300 ms delay in the "Mixer" area, which worked for the "Red Monster Live" video we did (I talk about it about halfway through). Red Monster Live! (Adobe Character Animator Livestream) - YouTube
For PC solutions with Newtek's NDI plugin, like Wirecast or VMIX, you can try the same idea. Or we've used NDI's Scan Converter when using multiple audio sources, like the multi-puppet livestream we did: https://youtu.be/ja7bVr4kHCU?t=15m22s
Hope that helps a little...