in ny will homeowners insurance cover vehicle damage parked in driveway from snow from snow plow?"?

No, but your comprehensive auto insurance coverage should.

The homeowners insurance would probably cover it, but the deductible would be much higher than the deductible on your auto comprehensive policy.

Homeowners insurance excludes major items for which you are expected to carry a separate insurance policy - such as vehicles, boats, RV's etc.

Your car's comprehensive policy should cover it (minus your deductible) if you have full coverage.

No.

Your collision protection will cover it, on the off chance that you have extensive inclusion.

Furthermore, except if your city has some sort of responsibility waiver, they should cover it. Yet, you need to demonstrate that it's them.

I can't even imagine how the SNOW from the snow plow damaged your car. It's SNOW. It's not rocks. 

Even so, no--your homeowner's insurance probably won't cover it. You'll have to check your policy, but that would be a long-shot. 

Your homeowners insurance will not cover it.

If you have comprehensive auto coverage, they will cover it.

If not, then the city may cover it if you can prove that you were not negligent and that the city's snow plow cam into your driveway.

No.  Homeowners insurance does not cover damage to the homeowner's vehicles, anywhere, from anything..

No, but your comprehensive auto insurance coverage should.

No.

Your auto insurance will cover it, if you have comprehensive coverage.

And unless your city has some kind of liability waiver, they should cover it.  But you have to prove that it's them.

Highly doubtful.