No, it will not cause smoke from the exhaust pipe. However the leaking oil can drip on the exhaust manifold where it will be burnt and smoke.
Valve cover gasket.
Blue smoke can be caused by a blown head gasket. . Blue is oil being burned in the engine.
bad head gasket , warped or cracked head
For steam to come out the exhaust you probably have a bad head gasket or a cracked head. If the turbo had an oil seal fail it would cause blue smoke to come out the exhaust.
Most probably, you have a valve cover gasket that is bad, and the oil is dripping down onto the exhaust manifold, and is being burned. Replace the valve cover gasket.
No, white exhaust smoke is a symptom of coolant entering the combustion chamber. You my have a blown head gasket.
If the valve cover gasket is leaking it will allow oil to leak onto the hot exhaust manifold where it will smolder causing smoke in the engine compartment.
The white smoke from the exhaust of a Mazda 6 can be caused by a number of factors. One of the factors is the lack of oil in the coolant. Another reason might be a blown head gasket.
i had the same problem recently with my 92 topaz, the cause of the problem was a leak in my power steering line . the fluid was dripping on my exhaust manifold causing the smoke .
It means you have a bad head gasket.
The first thing that comes to mind related to those symptoms is a blown head gasket.
White smoke from the exhaust, loss of coolant with no apparent leak, oil level overfull, engine over heating, and a white foamy substance on the underside of the oil fill cap and /or dipstick all indicate a blown head gasket. A leaking valve cover will just cause a loss of oil and possible smoking from the oil dripping on the exhaust manifold.