Thats for the Northern Irish to decide and polls seem to show they favor staying in the Union.
It will be interesting to see what will happen post-Brexit, especially if a hard border has to be erected. That may cause support for reunification to grow, however I can't see a majority for this being formed in the near future - even with a hard 'Brexit', which is probably the only possible way for it to become a serious possibility.
LucidTalk poll (20-23 Oct)Do you think there should be a Northern Ireland Referendum on NI's constitutional position within the United Kingdom - a 'Border Poll'?Yes, within 5 years - 47.1%
Yes, within 10 years - 14.8%
Yes, but far in the future (after 10 years) - 17.1%
No, there should never be a border referendum - 18.6%
Don't know - 2.3%
Should Northern Ireland REMAIN a part of the United Kingdom or LEAVE the United Kingdom and join the Republic of Ireland as one nation state Ireland?REMAIN in the United Kingdom - 55.4%
LEAVE and join Republic of Ireland - 33.7%
Undecided - 9.8%
Wouldn't vote - 1.1%
Without undecided votersRemain - 62.2%
Leave - 37.8%