Infinite Time/Matter/Space, Infinite Possibilities?

[Nightstar]

This is something I have been thinking about. IF(IF!) there is an infinite amount of space in our universe(s) and infinite time, and infinite matter, does that mean that, eventually, given enough time, EVERYTHING will happen? will there be an infinite amount of habited worlds on them, with aliens? Hell, an infinite amount of planets with humans on them? will their be planets of giant gaseous fruit people, with a slave race of harmonica-sock-monkey-dolphins?

Does having those 3 variables infinite mean that eventually, physics will be denied? will there be a planet with upside down gravity? etc.

Does having those 3 variables infinite mean that eventually, we will even all be brought back to life on an infinate amount of different planets, all with different characteristics? After I die, will I wake up on a planet with gaseous fruit people?

Planets with different time characteristics?
Planets that are inside out?

If you see where I am going with this, please reply with your thoughts. If not, tell me how crazy I am.