No; modern C++ provides the tools for which disciplined use solves these issues. The problem is that one can silently subvert that discipline, and still introduce memory errors.

Rust enforces memory safety at the language level. C++ itself does not "know" about memory safety. This difference, to me, is huge. You can still opt out of memory safety in Rust through unsafe regions, but the fact that Rust provides memory safety guarantees to non-unsafe regions is, to me, a change in kind, not degree. When the only thing enforcing memory safety is disciplined use, it's still too easy to make a mistake.