That's an interesting idea, and probably something you might be able to achieve with a tool like h26forge.

It's also probably more useful to just have a connection be fully dedicated to a VPN, and have the traffic volume over time mimic what you'd see in a video, rather than embedding it in a video -- thanks to letsencrypt, much of the web's served over TLS these days (asterisks for countries like KZ and TM which force the use of a state-sponsored CA), so going to great lengths to embed your VPN in a video isn't really practical.