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Depends on your definition of a hard problem. Most systems programming requires none of these things.

It may come as a surprise to some but most systems engineering has very little hard computer science involved and is mostly about achieving very simple tasks in reliable ways with very robust error handling.

You rarely implement novel data-structures or algorithms. Not shipping with cyclic data-structures in Rust is not really a problem for most systems applications. That said, you actually -can- build them in Rust, and it's likely there will be nice libraries with various different allocation/memory management and other runtime tunables and performance tradeoffs.

If you exclusively consider hard computer science problems as "hard problems" then no, Rust is probably not for you. Consider Haskell or Julia.