Yes, although he is still in a persistive vegatative state. Click on the 'Ariel Sharon' link on this page to view a bio that includes the state he is in now.
As of today (February 25, 2009), the answer is yes but he is in coma.
No, he died on April 14, 2006.
Yes as of January 10th 2011
Yes and he will be 83 on Feb 27th.
He is still alive but he is in a deep coma