Yes, there are many different laws that apply in each state. Most such cases arise under state laws (but some federal laws set forth the rules/laws) and each state provides evidence laws on the types of losses/damages that can even be recovered in a wrongful death lawsuit (caused by negligence, carelessness, or violation of a relevant statute/regulation).
The state limitation period to even file a wrongful death suit is sometimes different than the statute of limitations for a personal injury suit.
Also, many states have laws on who can file the suit for the deceased person. We highly recommend you obtain a free consultation very early on to protect your family.