The funny thing is that Rust works perfectly fine with statically preallocated memory. It's not even against its idioms - most code will work with zero changes. In a way, the borrow checker is the perfect tool for this situation, since nothing owns any memory and everything is borrowed from the static allocation.
There's definitely one code change that's needed - you need to override the Allocator being used by standard library containers (or, live without standard library containers) and by any third-party dependencies you have. That feature is not even stable, let alone idiomatic.