If you happen to live in the south east, and have enough spare time to regularly check back and refresh the booking system website then you might just about manage an i3 within the next month. Otherwise I’d say its unlikely I’m afraid.
Wait lists are basically gone now, with exception to the Tesla M3, and the extreme levels of demand at the moment mean that cars come and go quickly.
If you need a car in the next month I recommend taking anything you can get, and then booking a swap to the i3 as soon as one becomes available.
Also worth noting that in the next week or two there are 2 new models being announced, but even they would be a push in terms of getting delivered in the next month. One is expected to be the VW ID.3 Which many people here want. It may tempt some people to return their i3 for you, but again the turnaround times mean it’s unlikely to be so soon, hence my suggestion to grab a Zoe or whatever for now and swap when you can.
By all means give them a call when they open this morning too. You may get lucky!