Is it possible to record only one side of a video call?

I have just started reading about jitsi and have questions.
When I search ‘record video call’, it talked about live streaming via youTube (which sounds like more than I’m looking for).
I’d just like to embed the ‘meet’ program on a web page and be able to record the other person on a two person video call, either via windows 10 desktop, or via mobile iPhone. Possible? If so, how?
And how would the quality and/or latency be on a video call or video call recording?
Would the video calling, embedded on my web page consume a lot of bandwidth?
Much thanks, I look forward to being enlightened.