In this case, it means "find a way to overcome". Hope this helps :)

The expression "chart a way forward" has a couple of different meanings. But usually, it means "make a plan". "Can this airport, one of the most connected air hubs in the world...(chart a way forward) to overcome aviation’s biggest crisis of the 21st Century?" "EU leaders met for a meeting without Britain, aimed at charting a way forward (deciding how to proceed) for the EU after Brexit.

In this context it means "Can this airport, one of the most connected air hubs in the world provide the answer [for the future] in overcoming aviation's biggest crisis of the 21st century?" To "chart a way forward" means to be a "trailblazer" it creates the path that others will follow.