Rust does have a lot of nice ideas borrowed (hehe) from functional programming, but it's far from being FP!
On a tangent: you're comment about learning a FP before learning Rust is great advice, but not for the reasons you initially intended perhaps. Learning FP in general is great, since it teaches you a different way of thinking from the "classical" way programmers think. So, it's great to learn FP for anyone, regardless of whether it's for Rust's sake (it will help a bit with reasoning about some Rust concepts and idioms, though), or not.