Yes, it is possible.
I'm assuming that you have basic understanding of HTML and JavaScript. Also this will only work on browsers that have support for HTML5 and the video element specifically.
First, add a video element to your page
<video id="video" width="600">
<source type="video/mp4">
Your browser does not support HTML5 video.
</video>
Then let's assume you have two images, Video 1 and Video 2
<img src="tv.png" id="video1Btn" onclick="loadVideo1()" value="Load Video 1" />
<img src="chair.png" id="video2Btn" onclick="loadVideo2()" value="Load Video 2" />
Once a button is clicked the JavaScript function as in the onclick attribute will be called.
function loadVideo1() {
var videoEl = document.getElementsByTagName('video')[0];
var sourceEl = videoEl.getElementsByTagName('source')[0];
sourceEl.src = 'video1.mp4';
videoEl.load();
}
function loadVideo2() {
var videoEl = document.getElementsByTagName('video')[0];
var sourceEl = videoEl.getElementsByTagName('source')[0];
sourceEl.src = 'video2.mp4';
videoEl.load();
}