They must have a degree from an accredited institution before they can begin practicing, and part of earning the degree is operating on cadavers, so, yes.

> Do Accountants need to complete a test audit?

In order to be a Certified Public Account in the US, you must pass the Uniform Certified Public Accountant Examination, which has a section on auditing and has "task-based simulations", which are:

"CPA Task-Based Simulations are scenario-based questions on the CPA Exam. They are a large part of what makes the CPA Exam so difficult. Each one will introduce a situation, provide data in the form of charts, memos, and emails, and require you to answer a series of questions."

So, I think yes?

> Do Lawyers perform a mock trial?

In order to be a lawyer in the US, you generally need to pass a state's bar examination. Most of those include "performance tests" which require the testee to simulate part of the job of being a lawyer. I don't know think mock trials are part of that, but writing a legal brief or doing other typical lawyer work is.

My understanding is that going to trial is a small fraction of what most lawyers do and lawyers going in that direction will gain that experience as junior members of a law firm.