The burning vinyl chloride produces hydrogen chloride (which becomes hydrochloric acid when in solution with water). Tens of thousands of pounds of it was present.

So the answer is probably yes, with it being a lot harder to say what the exact effects are (because how much did it dilute in the atmosphere before going into solution, how quickly did it fall in rain, etc.).

It seems likely enough that there will be some rain that is moderately effected and not much else (because in terms of mixing with the atmosphere, tens of thousands of pounds isn't that much material).