No and YIDS.
Like, for example, the MK future is unaffected by the shroob invasion when it affected MK past. So that either means that somewhere down the line, the brothers' efforts were for nothing because the threat would be eliminated somewhere down the line regardless if the princesses were stopped, or the writers didn't care. I'm betting the latter, as it helps support my claim.
Actually, it's a
Ontological Paradox; when something in the present exists
because of someones influence on the past. Mario and Luigi were supposed to travel back in time, because that's how the present came about; it's their role in history. This can be illustrated in the Futurama episode "Roswell that ends well", the Roswell incident is revealed to have been caused by the crew after they accidentally travelled back in time and crashed landing into past Earth. Roswell would have never happened if the crew didn't travel back in time. Likewise, the present would have been peaceful if Mario and Luigi didn't travel back in time to stop the Shroobs.
Though it begs the question: history shows that Mario and Luigi were always responsible for stopping the Shroobs, but then why didn't anyone mention it to Mario and Luigi? "Mario, green-guy, just want to remind you you'll have to travel back in time to stop some evil aliens, m'kay? In fact, why didn't Mario and Luigi remember it? They were smart enough to walk, after all. (Or maybe they did. I don't know remember, it's been a long time since I played that game).