It is definitely not a stock setting within Camera on the iPhone.
I don't know if this helps but I found it through a quick search for "drama app samsung iOS".
http://appfinder.lisisoft.com/app/drama-shot.html
Thanks not available in the US though. Anyone else?
Serious?
Okay, https://itunes.apple.com/app/action-sequence-cam/id533804001?mt=8
All you have to do is google what I wrote OR google iOS photo sequence because "drama" is actually called a sequence of shots.