I think you're asking rhetorically, but just in case:

1. Rust-the-language doesn't know anything about allocations, so strictly speaking, it cannot. Furthermore, without a GC, it's unclear how it could in the first place, given that a compaction would invalidate all pointers to that memory.

2. Certainly not to the same degree as the JVM, given that there's nothing inherently to inspect, like there is in languages with a runtime. You can instrument your own application, but that does mean doing the work yourself, and you only get as good of results as you put in in the first place.