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The title pretty much says it all: Does the StackExchange API have a WSDL file to help implement access to the API?
See the API docs; there is no mention of a WSDL file for the API.
Further, WSDL is typically used for old XML and/or SOAP API's. Since the Stack Exchange API is JSON based, it seems unlikely that an official WSDL exists.
(The API docs also make no mention of XML or SOAP.)