Is it possible to add test cases to a test cycle from API?

Reading the documentation it seems like the endpoint to use is "POST Create test execution ".  That will effectively add a test case to a test cycle.  I assume you would set the status to Not Executed if you just want to add the test case, or set it to Pass/Fail, etc., if it has been executed.

As you can see from the documentation the endpoint expects the Project key, Test Case key, Test Cycle key, and a test execution Status.