unless your on a well-known stalemate line against a player that knows it too. Then it's kinda like ending up with a Bishop-King Versus a King... stalemate.
If you're playing against an innexperienced player / team, then there's alway a chance that they won't inspect every unit on their line to see where the need to support, and where the need to break support etc. I guess if you get lucky and they get unlucky, you can break through. But if both players are good enough to know the lines - or to just be able to visually inspect each potential battle for maximum attack versus maximum defense and if nothing can get through in either direction, it's usually pretty obvious to me when it's a hard stalemate.
I can imagine a case of a dynamic stalemate though, where you keep trading a territory, or group of them, but no progress is made over the the course of three turns. At that point even if it's not technically a stalemate, it might effectively be one.
Chess analogy: King-Rook Vs a King. Technically, not a stalemate. there is a forced mate for this. I'm still surprised how many people don't know how to do it though, so I will always make them play it out if I'm the King, because even though I should lose, if they can't find the mate, to hell with them.