Yes, but it currently requires developmentally mature individuals to build the gametes, and the "code" is so complex you couldn't really decipher it from first principles.

The code to build mitochondria is not.

Given code written for unknown hardware... can you execute it?

Given that the code contains the instructions how to make the hardware - if one is very smart than yes.

It would not necessary be possible, because it's incremental instructions on how to make the hardware, but based on already existing, unspecified and very complex, hardware. So the first instruction would be something like "take the stuff you have on your left and fuse it with the stuff you have on your right", both stuff being unspecified very complex protein assumed to be present.