It is really on the coaches discretion. depending on where you go has a lot to do with it as well. i played football in college at a D1 school and we were not allowed to play any other sports a friend of mine wanted to play Baseball and Football but the coach said No. I think it really depends on the level of school you want to play at and and if the coach will give you an OK.
Only if the seasons and schedules don't clash.. For example, if football and basketball seasons occur at the same time, you couldn't do both sports. Swimming, baseball and track are typical Spring season sports. An athlete probably could not do any combination of those.
Talk to the coaches. They'd be able to tell you for sure.
Both hockey and wrestling are winter sports, so not possible.
My college is having big playing ground for cricket. I like to play cricket and also Badminton. There is another section or playground is made for each game.