No, but your compiler MIGHT decide in a future release that it's a whole lot faster to ignore the header files for standards types and definitions and just copy a pre parsed version of the struct into the symbol table when the header is included. It might look at the _t and decide nope, I don't have a definition for this so it's an error, despite your own definitions.
This probably won't happen. But if it does you don't have any grounds for complaint really.