No, officially it is not possible to receive a passport check stamp for both flights.
Source: I tweeted Ryanair if you could get the passport check stamp for both flights if one had two flights the same day and they were fast to respond that no, unfortunately not.
That being said, I would for sure try and ask at your first departure if they would kindly also stamp your second boarding pass. I do not see anything airport- / flight-specific about the stamp as far as I can tell from the picture you uploaded to the linked post.
Last time I checked luggage with Ryanair there was no queue so I asked: you do need the stamp to board - however sometimes the gate agents bring the stamp with them to the gate. If you are desperate to fly such a connection you might want to try and then contact gate agents proactively airside, ideally before boarding starts.