Yes, this is what most dogs do. I had to teach them to catch the fisbee though different exercices. I takes some weeks, but then the result is way better.
There are also some rules to follow: to heat the muscles before you start, having the dog running around you when he starts chasing the frisbee(like Chula on the last seconds of the video), learning how to catch frisbee, all these little things that will make you not to arm your dog.
Both didn't play frisbee for the last 6/7 monthes because usually there's faster than on this video. I will put them back on it the next few weeks.