Answer:
Yes, parkour is safe sport... (NOT a sport) It is for me a lifestyle
I had my falls and bruises. It's part of it. Le Parkour is all about progression. It takes time. You start off of something small and once your comfortable push a little, push a little. You dont have to jump the Eiffel Tower at once to learn how to land.
Don't rush yourself. Know your limits and be safe