Can throwing a grenade down a missile silo destroy the missile or affect the missile from launching?
Yes (assuming you pull the pin first) it can, but it may not.
It should, being you can get the door to open. They are all secured with interlocks and security. You could never get it in there to begin with.
Well, if dropping a socket wrench can cause the rocket to leak and eventually, explode (but not the warhead) then I suppose if you managed to hit a critical component, you might not even need to pull the pin, and if you did pull the pin, yea, there is a pretty good chance you could disable the missile.
Most modern missiles have features which prevent accidental detonation, so the grenade might damage the missile or silo but not cause the missile to detonate. That being said silos and I assume missiles are built to be very rugged and it is unlikely the small explosion caused by a grenade would affect their operation.
Assuming you are talking about ICBM's Destroy the missile ... no. Grenades contrary to movies, are not quite as powerfull as they seem. Affect the launch Well that depends.... Assuming you made it past the armed guards, thermal sensors, motion sensors and vibration sensors... waited to just the moment the launch doors opened and tossed it in... maybe. One thing for sure though. The hail of bullets from the QRF (quick response force) WILL destroy you.