DPI stands for Display Parallel Interface- it’s a technique that uses multiple GPIO pins to output the full colour information for a single pixel (RGB in various bit depths) and horizontal/vertical clocks.
On the Pi the videocore GPU outputs a DPI signal which is routed to the GPIO pins when they are set up in DPI alt mode. The ability to drive the HyperPixel display is a hardware feature of the Raspberry Pi, and I can find no clear information to suggest the Orange Pi Zero is capable of outputting DPI.
Since it’s a hardware feature, having the same layout and labelling of the GPIO, and even the same OS, will not help. I suspect driving HyperPixel on an Orange Pi Zero is completely impossible irrespective of any apparent similarity between it, and the Pi Zero.