Risky game.
September interviews would normally be arranged in July, based on cases that were ready for scheduling at the end of June. So - theoretically you could submit documents in mid/late June to make sure you are scheduled in September.
However, you should consider some downsides.
- You can't pick early or late parts of the month.
- There are more selectees than a normal year. It is possible that they could exhaust all the available visas before you got yours scheduled.
- If you send the documents but KCC documents don't agree you sent the correct documents you could easily ruin your own case.
- Who knows what the Covid situation will be by then.
So, ask yourself this. Is it REALLY important enough to buy an extra month or two at the back end (2023) and by doing that gamble your whole GC chance?? Surely it would be better to get your visa in hand then either keep your status alive with a quick trip after initial actation (buying yourself an extra 6 to 12 months) OR plan to submit a re-entry permit (I-131) on the activation trip to arrange a 24 month gap until you need to move back. The I-131 takes a few weeks to arrange and you need to remain in the USA until the biometrics (say 6 weeks).
Make a better plan.