Not really, apart from a few years in the '70s: the pIRA had the overthrow of the Dublin government and its replacement with a Marxist government among its aims as far I know, which made it pretty unpopular with the parties down here. They also were pretty much the only ones who killed members of our security forces, generally in bank raids and such things.

There was some talk very early on about all sorts of things, including an invasion of the North.