The answer is yes. Assuming you were injured in each car accident, you can make two separate claims even though they occurred so closely in time. You will need to prove that the injuries you suffered in the first accident are directly related to that driver’s negligence. Similarly, you need to prove that the injuries you suffered from the second accident are directly related to that driver’s negligence and not resulting from the first accident.
It is important to let your attorney know of both accidents as your injuries might overlap. A good personal injury attorney in New Orleans will be able to parse out the two auto accidents and get you the compensation you deserve from both accidents.