Double free in freopen on OOM

[pfusik]

static FILE *init_file(FILE *stream) {
  ...
  if ((rc->buffer = (char *)malloc(BUFSIZ)) == NULL) {
    /* No memory */
    free(rc);
    return NULL;
  }

FILE *freopen(const char *restrict filename, const char *restrict mode,
              FILE *restrict stream) {
  ...
  if (init_file(stream) == NULL) {
    /* Re-init failed. */
    free(stream->filename);
    free(stream);
    return NULL;
  }

Wondering if free(stream) can attempt to free the memory just freed by free(rc) ?