Not directly but worth checking out The Room, some of the Gobliiins games (phone only I think), both of the Monkey Island special edition re-releases (1 & 2) and Tiny Bang Story which looks visually most similar but it's much more kid-friendly casual gameplay I warn you: https://itunes.apple.com/gb/app/the-tiny-bang-story-hd/id495937600?mt=8 If you have a Mac or PC you could try the same devs newest game Botanicula: http://amanita-design.net/games/botanicula.html ...it's on Steam I think. And shameless plug but you could try City of Secrets by a company I work with https://itunes.apple.com/gb/app/city-of-secrets+/id488542403?mt=8 Machinarium is a charming one-off game though!!
similar in what sense? The aesthetics? The gameplay? The touchscreen is a pretty awesome way to play these adventure/point & click games and developers probably know that! There are many ports/rebuilds of PC & console point & click games in the App Store