The C standard allows the opposite, extern after static:
6.2.2 Linkages of identifiers
....
3 If the declaration of a file scope identifier for an object or a function contains the storage-class
  specifier static, the identifier has internal linkage.
4 For an identifier declared with the storage-class specifier extern in a scope in which a
  prior declaration of that identifier is visible, if the prior declaration specifies internal or
  external linkage, the linkage of the identifier at the later declaration is the same as the
  linkage specified at the prior declaration. If no prior declaration is visible, or if the prior
  declaration specifies no linkage, then the identifier has external linkage.
At the same time it states:
7 If, within a translation unit, the same identifier appears with both internal and external
  linkage, the behavior is undefined.
BTW, the C++ standard makes it explicit:
7.1.1 Storage class specifiers
....
static int b; // b has internal linkage
extern int b; // b still has internal linkage
....
extern int d; // d has external linkage
static int d; // error: inconsistent linkage