GCC 4.7.4 was the last version of GCC fully written in C, with full C++98/03 support and a decent subset of C++11. As far as I know it is used by the bootstrap project presented in the article.
I have no doubt that a Rust compiler can be implemented in C. But it's a different project to write one in C from start than trying to migrate an existing C++14 based project to C. The former is likely "easier". An alternative approach could be to migrate the C++14 code back to C++98 and get rid of the exceptions, which makes it transpilable to C (using the cfront approach). Though the result might not be maintainable C, but still C.
EDIT: if you manage to migrate it back to a sufficiently moderate C++11 subset, or even C++98, you could use GCC 4.7.4 to compile it, which itself is written in C.