Not to sound condescending...but, no. Northern Ireland is part of the UK. The Republic of Ireland is the rest of the island. The borders between Northern Ireland and Ireland have relaxed greatly, but you're still moving from one country to another. The last referendum I can think of for reunification was in 1973. With Brexit, there was a push to open the borders more and a thought that reunification might be feasible, but apparently there's still much resistance in the North, at least based on recent polls.