Do interpreted languages such as Java and Python need an operating system to work?
For example, on a bare-metal ARM microcontroller, can an interpreter be installed such that we can have both compiled code such as C, and interpreted code such as Python working together, Or is an OS needed to support this?
Of course you can write an interpreter that runs on bare-metal, it is just that if the platform does not have an OS any run-time support the language needs must be part of the interpreter. To the extent in some cases that such an interpreter might essentially be an OS. That is if it provides the services to operate a system, it could be called an operating system.
It is not perhaps as simple as interpreted vs compiled. Java for example runs on a virtual machine and is "compiled" to bytecode. The bytecode is interpreted (or just-in-time compiled in some cases), rather then the Java source directly. In an embedded system, it is possible that you would deploy cross-compiled bytecode on the target rather then the source. Certainly however JVMs exist for bare-metal. Some support multi-threading through a third party RTOS, others either have that support built-in or do not support threading at all.
There are interpreters for cut-down subsets of JavaScript and Python that run on bare-metal microcontrollers. I am not sure about full implementations, but it is technically possible given sufficient run-time support even if not explicitly implemented. To fully support some of these languages along with all the standard and third-party libraries and frameworks a developer might expect, may require so much run-time support and resource that it is simpler to deploy and OS, so implementations for resource constrained systems are often subsets or have restricted libraries.