No, the dividends can't be exploited like that.
Dividends settlement are tied to an ex-dividend date.
The ex-dividend, is the day that allows you to get a dividend if you own the stock. Since a buyer of the stock after this date won't get the dividend, the price usually drop by the amount of the dividend. In your case the price of a share would lose $2.65 and you will be credited by $2.65 in cash such that your portfolio won't change in value due to the dividend.
Also, you can't exploit the drop in price by short-selling, as you would be owing the dividend to the person lending you the stock for the short sale.
Finally, the price of the stock at the ex-dividend will also be affected by the supply and demand, such that you can't be precisely sure of the drop in price of the security.