Nope. Skeumorphic design uses ornamentation, like textures and interaction animations, to mimic the aesthetic of a physical object. You don't even need to adopt an existing standard interface layout to be skeumorphic. Make those keys look rubber or give it a mock LCD display and you'd be skeumorphic even if the buttons were in a circle around the display.
No. No it does not. Does the iphone calculator simulate having an iphone? No. This app juxtaposes two abstracted sets of control buttons. Skeuomorphic doesn't mean "is like something else that exists." The app does not include ornamentation that attempts to mimic the material, motion, structure, or any other physical aspect of the iPhone. If he had a simulated the bezel separating the two calculators or the shine of the glass as if there were two phones physically next to each other, or maybe mimicked the sound made when tapping on the buttons or any other simulated physical feature of the phone itself, then it would be skeuomorphic. That's not the case.
From the second image, it appears he set the cornerRadius too high and the buttons became almonds. If that’s what he was going for, then perhaps it IS skeuomorphic? /s
1. Not skeuomorphic.
2. Indeed, flat.
3. Almost identical to the iPhone native calculator, except it uses round-edge rectangles instead of circles.