Yes. Cinema 4D uses a Left-Handed Coordinate system whereas others standardize on the Right-Handed Coordinate system, including OpenGL. Direct 3D uses a Left-Handed Coordinate system.
Right-Hand Rule
CAD systems seem to work in typical 3D mathematics systems (Z up), whereas Physics works in a system were Y is up. Considering the collusion of 3D maths and Physics, it must make one wonder why this is so.
Just remember that, for the most part, this is just a ‘preferred’ orientation of the coordinate system - it’s just that the preference can have an impact when moving from system to system.