No they wouldn't - it might provide basis for a search warrant if the pictured quantity is large enough, but they have no way of proving that the thing in the picture is actually cocaine vs baking sugar.

As a slightly related anecdote, a friend of a friend got caught with 11 grams of cocaine (supplying for a party, I think) and by the time he got to court he was being charged with possession of 4 grams, which reduced his "years in prison" with "a few months probation and a fine". No mention of where the 7 grams went in the months between.