- Get everybody on a boat in NYC harbor with ferry level security (i.e. not much)
- As the boat is travelling to the platform, perform the more thorough check in, any security scans, etc. Everyone simultaneously straps down in their seats, last minute toilet runs etc.
- Slot the passenger capsule into the rocket like a cartridge and take-off immediately at arrival. Plot twist: the capsule was on the boat. Passengers might not even get to see the rocket.
If this were to happen I would imagine it to not be a capsule, but simply entire rows of chairs.
The main killer would still be the whole transit between the harbor and the rocket, but this could probably shave about half an hour.
That's not saying there is no market for something like this, but for anything but the longest flights it's going to be a very specific kind of customer.
You have to gather the people, check them in and clear them during internation flights. Then you have to load everybody on a boat, ship them to the platform X miles into sea, unload them, take them up the big tower, letting them board and settle and depending on how predicatable this is, wait for clearance to take off.
Now is the short flight.
And afterwards we can do the entire thing in reverse.
Some things might be a bit more optimized, like perform customs, safety instructions etc during the boat trip. But the entire trip from arriving at the sea/space-port until leaving it at the destination would probably be making this a diminishing returns and only really interesting for the extremely long flights.