Not really. While working at the OS-level can typically require 'unsafe' operations a core tenet of writing Rust is making safe abstractions around unsafe operations. Rust's 'unsafe' mode doesn't disable all safety checks either - there are still many invariants that the Rust compiler enforces that a C compiler won't, even in an 'unsafe' block.
And even ignoring all of that, if 10% of the code needs to be written in Rust's 'unsafe' mode that means the other 90% is automatically error-checked for you, compared with 0% if you're writing C.
Rust has support for many embedded targets. I can personally vouch for the MSP430. Rust compiles down to an intermediate language which can then use the same compilers and linkers as C. For instance when compiling Rust for the MSP430, GCC-MSP430 is actually part of the toolchain.