Check whether function is declared with C preprocessor?

Is it possible to tell the C preprocessor to check whether a function (not a macro) is declared? I tried the following, but it doesn't appear to work:

#include <stdio.h>

int main(void)
{
#if defined(printf)
    printf("You support printf!\n");
#else
    puts("Either you don't support printf, or this test doesn't work.");
#endif
    return 0;
}