Hi Julian,
I noticed that your grid coordinates are very far from the Zone 56 projection center, therefore your site calibration requires a 6.9 million meter translation in Northing, which exceeds the earth radius.

When TBC performs the site calibration, it needs to calculate the global -> local transformation, then local -> grid. This is impossible in this dataset. You'll notice that your points only have grid coordinates (which are inherited from Trimble Access) and global coordinates, because the local coordinates (still in lat long) are probably out of the Earth and cannot be computed.
I tried to move your grid points closer to a more reasonable position, then the error message is gone. With that being said, I don't know if your project allows you to move those grid points. If you have to stick with those, you may need to use a different projection in Trimble Access, where (5000, 5000) is not too out of range in it.

Thanks.
Rui