No, it does not.

Rust approach to shared memory is in-place mutation guarded by locks. This approach is old and well-know, and has known problems: deadlocks, lock contention, etc. Rust specifically encourages coarse-granular locks by design, so lock contention problem is very pressing.

There are other approaches to shared memory, like ML-style mutable pointers to immutable data (perfected in Clojure) and actors. Rust has nothing to do with them, and as far as I understand the core choices made by the language make implementing them very problematic.