IMO you don't need that. It happens often enough that you can just have the hood open and measure fuel pressure when it happens.
However, I'm doubting fuel pressure is your problem. When a fuel pump goes out, (or pressure regulator) it tends to stay that way, or else the pump commutator lands on a bad spot and doesn't start, but if it does spin, fuel pressure is okay.
I had this happen to my '98 when I had old plugs and wires and replacing them fixed it. Otherwise, I'd check the temp sensor readings, maybe not registering as cold as it is so too lean. Also check battery voltage, low voltage could cause misfires till the alternator brings it back up to good voltage.
Old fuel can also cause this in cold weather, doesn't have enough volatile fumes and just deposits on cylinder walls, or partially clogged injectors.
I'm just throwing a few ideas out there, do any seem relevant?
If you had completed your forum profile so we knew what region you are in, then we'd have a better idea of what ambient temperatures you're facing right now. It could be relevant, since the problem goes away after 20 seconds.