Yes, you can use Worcestershire sauce instead of black vinegar. It has a similar flavor profile and is an excellent substitute for recipes that call for black vinegar.  Bear in mind, however, that Worcestershire sauce does have added sugar and salt which may alter the flavor of your dish if it is used as a substitute.  Additionally, make sure to check the label before using any type of Worcestershire sauce, as there are many variations available with different ingredients and flavors.