No, Roku does not offer that functionality. Some individual channels might have that in the channels themselves.
Roku does have something called My Feed, but I don't think it does what you're looking for. You can tag something to "follow", but I have no idea what that does.
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.