More than likely an airlock in the cooling system, bleed the system and should be fixed.
Head gasket
Defective gasket, poor installation, warped head, heat. Heat is the major cause.
Yes, that is possible. A blown head gasket will destroy the engine.
to much heat
BAd thermostat. clogged radiator, cooling fans not working, blown head gasket.
Yes it can leak water through the intake gasket into the runners in the head and smoke white, But the water ports and intake runners are a long way from each other because of the design. SO I would say that you have a cracked head are bad head gasket that is making it smoke. Did you get the engine hot are over heat it ? If so then you have a head gasket or head problem not an intake problem.
It could be a head gasket and is seeping pressure into the cooling system. Loosen your rad cap while it is running, if there is a whole lot of pressure your head gasket is done. Make sure you don't over heat your car or it will warp the head and it will be a major pain to fix it.
your car will over heat and you might blow your head gasket
Typical of a Bad Head Gasket
A faulty head gasket will cause power loss, coolant to mix with oil, and is a costly repair. Excessive heat is the primary cause for their failure.
The most common cause of a blown head gasket is an over heating engine. Low coolant or coolant not circulating through the engine causes the engine to heat up and the gasket to fail.
It is not wise to drive with a blown head gasket. If you continue driving with a blown gasket, eventually your car will over heat and the engine will seize up. This can cause accidents if it occurs while driving.