Is there a difference between 'project management' and 'project leadership'? If so, what is it?

The difference is a vague. Mostly leadership is linked to passion and the ability to get the maximum from the employees.

Project management is the application of tools and techniques in PMBOK at any project.

Project leadership is how to lead a project as a leader not just manager. But to lead you must manage first and then there are extra valuse related to soft skills and hard skills which make you leader