I don't know of any such functionality. I was thinking a DLNA server might offer such a function, and the Roku Media Player could be used, but I don't see that with Serviio. It offers it for music but not videos.
But what is possible is to create a playlist of videos and have RMP play them. I do use that functionality with Serviio. But that only works with a home DLNA server with your own media. I can't think of any way to do that with an online streaming provider. It's possible that some provider might have something within their channel, but nothing I am aware of springs to mind.
Dan Roku Stick (3600), Ultra (4640), Ultra (4670), Ultra (4800), Premiere (3920), Insignia 720p Roku TV, Sharp 4K Roku TV, Nvidia Shield, Windows 10 Pro x64 running Serviio and Plex on a wired Gigabit network.