Probably, the day after someone invented the first gun, but to answer what you probably want to know, in 1872, the year after it was formed, the NRA began the first organized national matches.
Shooting became a sport when the NRA was formed in the 1800's
Well usually any sport that involves shooting like clay pigeon shooting.
Yes, it is.
yes
shooting
shooting started in 1950 when the badminton started
shooting
Shooting/hunting.
shooter
People shooting
The sport of riding and shooting is called, very simply, competitive shooting. It involved cones and balloons and guns that fire blanks. It is a timed competition based on how fast you go as well as accuracy. Some hunters may consider riding and hunting which involves shooting off the back of a horse as well, a "sport".
Biathlon consists of rifle shooting and cross country skiing. It would be a winter sport and there is competition in biathlon at the Winter Olympic Games. But, there are some biathlons that are on roller skis, but these are mostly training, and aren't really a sport.