I can't find any definitive example of this. Did Patton drive Rommel out of Africa?

Only in the sense of Rommel's troops. Rommel was in Germany, sick.

I don't think they ever met on the battlefield.

Yeah, patton did beat back the AfrikaKorps but that was after it suffered from horrible casualties and was still undersupplied and yes Rommel was sick in germany.

But didnt Rommel come back later? I thought i heard it on the discovery channel :D

*Cough Montgomery and the British 8th Army cough cough*