Potentially. But you'd need a major change to have occurred, or have been on the fringes of normal range, for something to be reported differently. Different labs have different equipment, some operate on more specific/sensitive reference ranges for age and gender for certain tests, than other labs.
Going to the same lab provides consistent results against previous ones. Some doctors aren't aware of this, and part of our job is to educate them.
Hence my point about Nathan. It makes complete sense to go back to the same surgeon. Freo might get a discount too.