No, there is no difference between playing the organ and a piano. These musical instruments have the same structure with black and white keys, each representing a semitone. However, these instruments produce different sounds, and generating them requires a certain level of know-how and expertise in the functions of the two. The is a percussion instrument, while on the other hand, the organ is a woodwind instrument with numerous controls to help achieve the desired sound.
The basics of playing the piano and an organ may be similar due to the use of a keyboard, but that is where it ends. The organ has other controls that you must understand before you begin playing. The vintage sound you want to create will guide you on the technique and controls to exploit. For instance, the bass players must know how to play the keys on a pedaled keyboard.