That is typically learnt on the job.
As a chemical engineer in a big company, your usual first job is plant engineer on one or a few process units. Sooner or later a project will come along in your area (you're actually supposed to initiate or at least scope and screen them yourself) and that is the perfect occasion to get a feel for project engineering as you work together with the project team during the front end loading, and you can hop on the project engineering train if you like it. It will come as a natural move, either within the chemical company or a move to the engineering contractor.
Project engineering is 50% technical and 50% psychology. When the @#$% hits the fan you have to keep cool and focus on getting the thing done - safely, on spec, in time, in budget, as much as. You can't learn that from a master degree.