how many miles and when was the last time you changed your oil filter? if you have over 100 thousand miles you might want to look at your piston rings to check the blowby. burning oil is the most common answer to smoking exhaust.
My understanding of exhaust smoke is that Blue is oil, Black is unburnt fuel, White is unburnt diesel on cold start. The main question would be, how much smoke and when does it do it?
what is the worst for your health breathing in tobacco smoke or exhaust fumes
Blue exhaust smoke is burning oil.
what kind of gasoline are you running? and what color is the smoke?
emissions and exhaust
I know the white smoke would be caused by coolant, which would be leaking into the combustion chamber.
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.
how can i get black exhaust smoke stuck on my dual exhaust
the smoke that comes out of a exhaust pipe is supposed to be white
The exhaust should be colorless. Smoke is created by an imbalance of the oil:fuel mixture. Black smoke is too much fuel (rich). White-blue smoke would be too much oil.
If you nicked the oil pan it could cause it to smoke from engine area. Is the smoke coming from the exhaust or engine bay? If exhaust, then I highly doubt it was caused by the curb incident.
I feel these are unrelated but you can investigate a leak in the hoses leading to the heater core as they maybe leaking onto the exhaust pipe, that would produce white smoke, but not from within the tailpipe exhaust. Water and oil leaks will produce white smoke the smell will help you determine which it is.