Legallly, if the driver in the second accident was at fault (which it seems he may be, from running a stop sign) and caused damage to your car, you may sue him for that damage. As a practical matter, if  the damage occured to the same location(s) or part(s) as were damaged in the prior accident, it may be difficult to prove that the second accident caused damage; you will need to be able to very carefully and definitively document that new parts were put in, the repairs made, etc., so that you can prove that the damage done by second driver was new. Otherwise, he may be able to show that you are suing him to "double dip" and recover for damages for which you have already been compensated and for which he is not responsible, since the damage was pre-existing when he hit you.