The shortest dated, exchange traded options are weeklies. These expire on Fridays.
I'd imagine you won't see volume there until at least Tuesday, though. In order to buy puts, someone needs to write them. Any reasonable seller will be delta hedging their position by shorting the underlying shares. Since equities settle T+2, it won't be easy to short the shares until Tuesday.
Personally, there's quite a few unknowns that would deter me from entering this trade off the bat, as I don't usually trade IPOs. I don't really know what the short pressure on such a stock would be immediately after IPO. Ideally, I'd want an expiry less than 30-45 days away since I'm selling but, I'm uncertain that's enough time for this trade following IPO. I might execute it after seeing what happens at IPO for a few weeks or so. (edit) Of course, that may be far too late.
Also, I think it would be a hot stock for people to trade against, so I expect the spread to be reasonable, but the pricing to be extremely aggressive, which means the potential upside may not be enough for me to want the trade.
Options are all about timing, sooner may not be better.