Can I retake the GRE in a shorter timeframe if I reach out to ETS? Why do I have to wait?

So, I signed up for my GRE and I didn’t see anything about scheduling the test and then having to wait a certain amount of time. However - I think it won’t let you schedule something within 3 weeks.

I am taking it in a few weeks and planned to just take it a 2nd time just in case that one didn’t pan out very well for my results. My employer is paying for it - so I have little concern with cost of the test.

Is there a logical reason they won’t let me book within 3 weeks of each other?

To reduce the chance of questions leaking.