Apart from the required quantities going down there is nothing to see until you finish delivering stuff. As soon as everything is delivered and you press complete your build appears. At least for the Primary Port I haven’t finished any of my other structures yet.
The only thing that might matter is if you are building something that requires things like weapons, as these are illegal cargo and the Brewer security ships will object to that and you could end up without full access. So doing those last in a suitable ship for hunting somewhere to pay the fines etc could be a good idea in case you don’t manage to smuggle the stuff in without getting scanned.