i agree with the comments above, but I would break the answer down into its parts. The filming itself will almost never come anywhere close to looking professional unless you hire a professional to do it. Their equipment is typically better and they know how to deal with issues like lighting that only come with experience.
Once you get the raw content, I have seen a lot of outstanding editing jobs which were put together by amateurs. Like the videography, it takes skill and experience, but I have found that some people can do it themselves. It's not easy, though, and not everyone has the talent to tell good editing from mediocre editing.
Finally, there is the sound editing. Picking the right background music, and mixing it with the right sound levels at the right time, can mean the difference between a memorable and effective video and one that completely misses the mark.
In a professional shoot, these three jobs are usually done by different people. In addition, someone like Evernote probably had several additional people including a writer and probably even a stylist to make sure that the CEO's hair was neat and there was no reflection on an oily cheek. You don't notice those things because the professionals make sure the distractions are gone.
One thing that the Evernote video did not need was a voice-over artist, but often that is an important piece to the puzzle. The Evernote CEO did a remarkably effective job of narrating the video but many business owners are not capable of achieving the pacing and inflection necessary to make the story interesting.