Not really, DirectX and OpenGL are abstractions to the graphic cards so you don't have to program directly on them (specially considering how they differ between vendors). If you allow me to use a very loose analogy it would be like ODBC for graphics cards.
Wine is a reimplementation of the WinAPI on Linux, so Windows applications can use the same functions in WinAPI even if they are on Linux.
Also, most AAA engines (such as Unreal Engine) already have an abstraction layer for OpenGL and DirectX so their games can run independently of which one is missing.
You know, CPUs don't have problems using radically different architectures under one ISA (compare Pentium 2 to a core i7 or Kaveri part). The ISA evolves over time and newer instructions become more prevalent, but I never understood why graphics hardware couldn't coalesce around an extensions based ISA for hardware in general.
Wine is a reimplementation of the WinAPI on Linux, so Windows applications can use the same functions in WinAPI even if they are on Linux.
Also, most AAA engines (such as Unreal Engine) already have an abstraction layer for OpenGL and DirectX so their games can run independently of which one is missing.