If I read correctly, your car bouncing means the shockers are stuffed.....
Answer, yes replacing the front shockers on the Statesman (providing that is the car we are referring to) will require another wheel alignment.
The bad news, the place that did the alignment, shouldn't have done it with stuffed shockers, providing it was the fronts....They should have mentioned to you that they were stuffed and asked you if you wished to proceed with an alignment, with the advise that an alignment would have to be done upon replacement of the front shockers.