While you can't add the stream to the meeting link directly, you can update the invite email to include custom content such as the Streaming URL. This would be the website / social media service receiving the stream from the active meeting / webinar.
Yes, connecting Zoom with social platforms can be useful if you want to promote webinars, training sessions, or other events more easily. I’d check Zoom’s current integration and sharing options for the specific platform you want to use, since the available features can vary between services. It’s also worth checking whether you need a third-party tool for any automation you want.