Unlikely.
There would need to be a specialized app that communicates with the GPS receiver and then embeds the GPS information into the image. While it’s technically possible, I do not believe this app exists at the moment.
The Z1 can run Android apps internally. However, there is no touchscreen on the Z1 itself. This means that the Android apps running inside the Z1 have specialized control with physical buttons or with an external camera.
There is no way that I know of to mirrow the Android app running inside of the Z1 to a mobile phone.
Wish I could help, but just trying to save you some time. 