They can, whether you trust it is another matter. You also have to remember that he almost certainly wasn't 0.1mm offside - the camera angle and widening of the offside lines may make you think it was but in reality it was probably far greater. And offsides aren't down to the interpretation of the video ref, it's 100% down to the technology. The current guidelines are clear, if the tech says he is offside then no matter how close it might be, the decision is offside.
As I mentioned earlier, it's possibly going to change so that if a decision cannot be made within a few minutes then the onfield decision will stand. This is a terrible alternative imo. We're still going to spend the same amount of time looking at the decision, supporters will still be sat wondering what's going on and then we're ultimately going to go with the linesman's decision.