Yes, I have it set up where I can play the tests manually via the .http file or automated via a test suite. In general, I parse the .http file- each ### represents a new test, next line is METHOD URL, next lines are headers, empty space, then request body. Would vary based on test framework, but for mstest, it looks like this:

[DataTestMethod] [DynamicData(nameof(GetAllHttpTests), DynamicDataSourceType.Method, DynamicDataDisplayName = nameof(GetTestDisplayName))] public async Task RunHttpTests(string endpoint, string method, string data){...}

To be clear, this is integration testing, not unit. Testing that certain HTTP requests work, not necessarily that they are correct.