Can a oxygen sensor make your car smoke?

Can a oxygen sensor make your car smoke?
Not by itself. On newer cars, the oxygen sensor can tell the computer to richen up or lean out the air fuel mixture. It could cause a little, almost unnoticeable amount of extra smoke if it was calling for an extremely rich mixture. If you have a gasoline engine and there is a lot white smoke coming from the tail pipe then your engine is either running excessively rich or has a coolant leak and is burning water (some white smoke is normal in the winter, because the engine runs richer due to the cold). If the smoke is black then the engine is burning oil.