I doubt it; this is one big mother of a planet.
All the known and suspected oil on the planet, including Bakken, Brazil, Caspian, tar sands, oil shale, oil sands, and other oozings would make a six mile cube, a cubic township. If evenly distributed this would barely be an oil sheen.
Yep, it is a big planet, but there is a lot of it where oil is not likely to be being generated at the moment, too. It would be intriguing to try to estimate the rate of generation, but that would likely take a few man-years of research and would be pretty much meaningless speculation anyway.