Memory safety (as defined by Rust) actually goes a very long way to help with functional safety, mostly because in order to have a memory safe language, you need a number of additional language features that generally aid with correctness.

For example, lifetimes are necessary for memory safety in Rust, but you can use lifetimes much more generally to express things like "while this object exists, this other object is inaccessible", or "this thing is strictly read-only under these particular conditions". That's very useful.