I'm hesitant to add an answer, but I don't have enough rep to just comment. In any event, no, that doesn't seem "normal". :)
Couldn't tell from the video because your fret hand was out if the frame for most for the video - but are your hands coming off (completely) of the strings when you switch chords? If so I'm wondering if there's a grounding problem... Try this: just lay your left hand on the strings with your other hand free of the guitar. Then just "lift" your left hand off - try to make as little "music" as possible - does the "pop" happen then too?
If not, I am also curious if it could be something with your right hand - are you maybe hitting the p/u selector switch when you're strumming? Maybe it's a bad switch or something is loose in there - try just tapping or flicking the knob of the switch to see if you hear that pop.
Lastly, I noticed you're wearing a jacket - is there a metal button or zipper on your sleeve that may be coming in to contact with the pickup?