Not unless it is leaking so badly as to get enough oil on the plug wires to short them out.
Could be the intake manifold gaskets are leaking.
it could be from leaking valve cover gaskets and the oil is running down the side of the engine to the oil pan. make sure it is engine oil and not from the transmission or power steering
too much oil check level It could depends on what color the smoke is. If it is white smoke, water is leaking into the engine, If the smoke is black oil is leaking in your engine and you may want to check gaskets and seals.
Could be a couple things, best case is your valve covers gaskets are bad, and worst case is your intake is leaking.
You could blow the gaskets
Most of the time it is because of leaking valve cover gaskets that drip oil on the hot exhaust manifolds.This is common on many cars.Mark.
Are you sure it is the water pump gaskets. It could be leaking some somewhere else, like the lower intake gasket
You just have to see where it is leaking. There are numberous gaskets and hoses it can be coming from. Have it preasurized and it will be easier to find.
Going to need more info to help you out. What kind of vehicle is it and what engine does it have. A myriad of things that could be leaking including, but not limited to, oil pan gaskets, valve cover gaskets, oil pressure sending unit, oil filter and so on. Depending on which engine you have some of these are more likely, some less. Another possibility is that some folks aren't real careful when they add oil to their engine and any spillage will eventually find its way to you driveway.
the inlet manifold could Be leaking so check the gaskets or the injector seals
you might have a blown head gasket and the coolant is leaking into the cylender and the engine is burning it.
My 2000 gtp is leaking oil from the intake on the firewall side of the engine. If yours is the same then the supercharger and intake will need to be removed to repair. It also could be valve cover and/or oilpan gaskets. Hope this give an idea where to look and good luck. 00gpgtp