1. This answer is heavily dependent on the type of helicopter you end up using, and its nation of origin. Helicopters with two crew members (pilot and gunner) usually have a remote-aimed machine gun of some sort, while single crew helicopters (pilot acts as gunner as well), will have a fixed-aiming machine gun that fire straight ahead. The Apache helicopter, for example, uses a remotely aimed 30mm chain gun mounted under the nose that's aimed by a gunner, who sits behind the pilot. I've attached a picture below.
2. Short answer; yes it probably would, but with a caveat. An RPG is detonated by a primer in the nose of the grenade, which on impact causes a spark and detonates the payload. You would need to hit the primer head-on with a bullet *after* the RPG had been fired. See THIS video and fast forward to 1:53 or so for a good example what I'm talking about. Once you watch it, you'll how ridiculous it looks. It would be pretty impossible for a normal human being to pull off.
Hope this helped, let me know if there's anything else I can do for you.
--D
Attachments
Circled is the machine gun control stick of an Apache Helicopter.
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