The Touch Board can trigger video, however it will require interfacing with a visual programming language such as Max MSP. This is not the only visual programming language you can use but it's one that we like.
It is not possible to store video on the Touch Board so it will need to interface with a computer that stores the video.
There are lots of tutorials on how to use Max MSP on their website and there is a wide variety of things you can do with it. Check out our tutorial on how to create inputs from the Touch Board to Max MSP http://www.bareconductive.com/make/the-touch-board-maxmsp/