You can’t claim from the airport to the airline training centre..
In limited circumstances you can claim the cost of trips between home and the airport, when you carry bulky tools or equipment for work. Items carried in luggage are generally private in nature and other essential items, such as flight manuals (whether electronic or hard copy), are not considered bulky on their own.
If you claim car expenses, you can use the logbook method or the cents per kilometre method. If you use the logbook method, you need to keep a valid logbook to determine the percentage of work-related use of your car along with evidence of your car expenses. If you use the cents per kilometre method, you need to be able to show how you calculated your work-related kilometres and be able to show that those kilometres were work related.