Yessir! or Yes M'aam! - The Elgato NEO Capture Card is cheap, great brand (except for the Linux support), performs extremely well.
It's a box. You plug your switch/ps5 into it via HDMI. You plug a HDMI cable from the box to the monitor/tv you play on. You have a USB cable that runs from the Box to your computer which runs broadcasting software or use discord or something to showcase it.
That's about it.
There are cheaper cards and more expensive cards, naturally. But the NEO from Elgato (Corsair owned (your headphone manufacturers Nos)), is the cheapest afaik that actually does the job. HOWEVER...
You will have to setup your macbook to run OBS, and capture the video so you can broadcast it to the internet/zapstream/etc. A computer is required for this to work. Might be able to potentially use a Raspberry Pi (very very cheaper computer that fits in your palm), but maybe not as that's Linux.
