I have previous version of this camera (Olympus E-M10), but I think there is no big difference in LiveView mode and using non-native lenses between E-M10 and E-M10 Mark II .
You have two ways:
- Use the right adapter
- Use the surrogate zoom in video mode
1st way
You connect non-native lenses to your camera body using some adapter. To zoom picture and have a "zebra"-assistant in LiveView with manual lenses you have to use adapter with chip (also known as dandelion-chip) on it. This chip has a special function which deceives the camera, telling to it: "the attached lense is native but in manual mode". I have two such adapters (for SONY/Minolta and Canon lenses, others still have no chips) with that function, so, I think you can find similar (or buy the chip only, then you have to stick it correctly).
Here is my old adapter for SONY/Minolta lenses -> m4/3 camera:

Here is my new adapter for SONY/Minolta lenses -> m4/3 camera with chip:


2nd way
Without that chip you can use a surrogate approach:
- Set the (P), (S) or (M) mode for video shooting in Options.
- Switch to the video shoooting mode.
- Display the movie teleconvertor frame (usually the Fn2 button), then turn on it (the Fn2 button again).
- Now you have the central area zoomed but without "zebra"-assistant. Catch your object in focus, then shoot it! (yes, in video mode!). But this surrogate focus sometimes can help you!