Absolutely, but the more relevant question is if a particular cooking video or series, out of the vast set of "cooking videos" will make a particular viewer a better cook.
Probably not. I'd suggest a few questions to determine if that's true.
What is the specificity of the video? Some "cooking" videos only pretend to be about teaching cooking but they're actually about something entirely different. I love watching old episodes of Iron Chef but I don't expect to learn anything practical. Some cooking shows are about a particular aspect of cooking; a video on cooking with Spam won't make me a better cook because I don't cook with Spam. A video on how to make cakes look attractive with fondant won't make me a better cook because I like food made of food ingredients rather than construction materials.
Does the author know their subject matter? Many videos tell you stuff that's just plain wrong, or even dangerous (don't make popcorn on a soda-can stove with methanol or it could blow up in your face).
Are they level-appropriate? When I left for college, my mom gave me a copy of "How to boil an egg". I got a lot of benefit out of that book but something similar would be useless today. By the same token, years later, we got a lot of great information of of Rose Levy Beranbaum's "The Bread Bible", but it wouldn't have helped me at all as a freshman with a communal kitchen and minimal cooking ability.
There's also the question of what the viewer is going to do with it. You can watch videos all day long without getting any better at cooking. If you want to get better at cooking you primarily need to cook. Some videos may aid that effort but even the best ones will only help to the extent that you're willing to implement what they teach and practice it.