I did the same on my stator replacement over the winter. I have some 24" long zip ties I got at Harbor Freight. IIRC I got a pack of 10 for under $2. They're long enough and just rigid enough while still being flexible to be able to fish one through to the other side. Once it came out I tied the wire to the zip tie and pulled it through. I wasn't using the factory connector though, so I might have gotten it through where otherwise you would not.
Interestingly, in the 6th gen FSM it does not specify removing anything to remove the wire, however the installation instructions say "replace the throttle body", so apparently Honda intends for that to be removed to replace the stator. I doubt many ever remove the TB to get the wire across, but if you really get stuck that's what you may end up doing.