I don't think a lack of snow will be a problem, I mean it's February. If the Games were held in December, that might be an issue...as seen with the lack of snow and wet and windy weather during the alpine World Cup in 2005.
I'm quite sure there won't be any problems in Whistler, but there could possibly be some at Cypress. Not just quantity, but quality.
On the bright side, wouldn't this theoretically mean a greater likelihood of sunshine during the Games?