... and would it be a bad thing?
The recent election has put Sinn Féin just one seat behind the DUP. Brexit showed that the majority in NI want to remain in the EU. Could the combination of the two shift things?
There are a lot of 'ifs' in the mix. Power sharing by the two main parties is an absolute given un the Good Friday agreement, but what if the DUP and Sinn Féin cannot cobble together an agreement this time - there would be a new election. What if Sinn Féin came first? Could it get an agreement with other Republican leaning parties and individuals to ask the NI Secretary, James Brokenshire, for a referendum on NI's position re the EU? It is not beyond the realms of reality.
It would obviously be turned down because it would play into Nicola's hands. Then again, the border thing is going to be problematic, post Brexit. There may come a time when the UK thinks that letting NI go is not such a bad thing.