Hmmmm, Its Do-able,
I've done it twice in westerlies because its got the cleanest wind... Nice little kicker style waves that roll in, But the entire stretch is covered in rocks and all sorts of nasties on the bottom...

I'd say wear boots if your gonna try, But why not just head over the bridge to the pool or brighton? Or even go the other way 5 minutes and hit up margate/suttons beach?
Much nicer!!!