No, any coolant passage which could possibly leak into the system would cause more smoke the HARDER you were on it... Also, the turbo's coolant passage has fairly beefy walls it's not a common location for erosion to the point of leaking. The head gasket and then the throttle body are the most likely suspects for a coolant leak followed by the ISCV and then the turbo. I'm doubtful that it's coolant though; bad lighting or looking at it thinned out in the air as the car is moving are enough to make other types of smoke look white sometimes. I'd stand behind the car and have someone start it and see if it smells sweet at all (don't put your nose to the muffler, a casual wiff should be plenty to determine if it's oil or coolant
).
Leaking turbo seals don't typically spew enough oil to smoke on a cold start and they tend to smoke the most when boosting. It is easy enough to check though, clean out the IC piping and check it again in a couple days; There will be some oil in it when you first pull it, it's a sacrificial seal and always loses some oil but you shouldn't see much new oil in such a short period of time.
Excessive crank case pressure is another possibility... Especially if the PCV system has been deleted (a bad idea even on a healthy engine). If there is high crank case pressure and the PCV system is in place you may notice oil BEFORE the turbo.