Sure, ARC is a form of very specific, constrained garbage collection.
Compile-time, reference-counting GC, not runtime tracing GC. So no background collector, no heap tracing, and no stop-the-world pauses. Very different from the JVM, .Net, or Go.
Reference counting is a GC algorithm from CS point of view, it doesn't matter if it is compile time or runtime.
Additionally there isn't a single ARC implementation that is 100% compile time, that when looking at the generated machine code has removed all occurrences from RC machinery.
While I am usually the one that also goes in and correct people incorrectly calling RC not a GC, the important distinction here is that Rust (and C++) has the necessary language constructs to be able to implement ref counting entirely as a library.
Knowlege gets taught in specific institutions exactly because street knowledge is quite often incorrect, like in this case, spreading urban myths based in shaky foundations.
https://gchandbook.org/