Just minor parts, such as the natural formation of cell walls from existing lipids: Nothing that would come close to (to misuse a term) "prove" abiogenesis. An interesting site is that of Nobel Prize winning biologist Jack Szostak:
Szostak Lab: Home
If you explore it you can find what has been done and also links to at least the papers he has been involved with. The science has a way to go, but since we are still learning some of the finer points of how modern cells work it is no wonder that we are still learning how life may have formed.