No.
Your speakers are rated to 150W. That means they can't handle more input than that. The amp's maximum output is 200W. That doesn't mean it will always put out 200W, it means it can. It will only deliver what your speakers ask for, which would never be the power they are rated to unless you're listening at really, really insane levels.
Just as an example, I never use more than about 2W continuous power in my listening room. Transients can suck up some wattage, but I still never need more than about 8W.