Yes, of course. Many women from many countries take part in all sports.
in the Olympic sports
Women first competed at the 1900 Paris Games in lawn tennis and golf. Over time more women events were added, and currently Boxing is the only Summer Olympic sport that does not include events for women, though this is set to change in 2012.The first women competitors were at the Amsterdam games in 1928.1900 C.E. in Paris In 776 BC, when the first Olympics were held, women were excluded and created their own games, Games Of Hera.
No it is not one of the events
Follow the related link for a full list of Olympic Events that Spain are taking part in in the Summer 2012 Olympics in London.
As far as the modern Olympics go, swimming events have been a part since the first modern Games in 1896.
Women in early Greece were not allowed to take part in their olympic games.
Baseball and Softball will NOT be a part of the 2012 Summer Olympic Games, but were a part of the 2008 Summer Olympics.