There's an old adage, "'tis not with age, but with knowledge, that wisdom is acquired." I agree that experience does potentially further wisdom, but I don't believe that's enough.
Wisdom has to do with forethought. Prudence, then, is required. I had a chief in the Navy once who was fond of saying, "The best way to keep your nose clean is to keep your head out of your a**." That is, that missteps and grief are often the result of poor choices. While one's experience should provide guidance in improving the quality of one's choices, we know from observation that this is often not the case. For example, Bush43 garnered significantly more popular votes in his re-election in 2004 than in 2000. I can understand why people might have voted for him in 2000, but I cannot fathom how a person could -- in the face of four years of experience-- vote for him again. Now, in 2008, we see the polls as a large number of Americans are intending to vote for John McCain, in the face of 26 years of political record that experience has shown involves unhealthy choices.
There is no lack of knowledge or experience in that scenario-- it is, instead, quite evident that there is a great lack of wisdom. That being true, I can't agree that knowledge necessarily implies developing wisdom.