Can Physical fitness be divided into two groups health related and skill related fitness?

Yes, skill related fitness consists of a training program that is designed around the individuals specific skill that is in need of improvement. For example, if you are training a client who is an endurance athlete, then the program should consist of specific endurance training exercises that will cause the client to undergo physiological adaptions which results in the clients endurance performance improving.

Heath related fitness focuses on preventing the chances of future injuries and reducing the risk of disease. For example, if you are designing a health related program for a client who is obese and does not currently conduct any type of cardiovascular training; the program should include aerobic exercises that will help reduce the risk of developing cardiovascular disease (along with many other possible health conditions related to obesity). However, health related fitness does not only need to be prescribed to clients with already present conditions. Running for 30 minutes per day can also be considered "Health related fitness" because running is known to reduce the risk of developing CVD.