First of all, despite what decades of television and movies have told us, individuals do not get to decide whether to "press charges". What an individual can do is make a report with the police department who then decides whether to make a report to the district attorney's office. Then, if the district attorney's office believes that they can prove guilt beyond a reasonable doubt that a crime has been committed and that justice
would be served by prosecution, they file a complaint
and the criminal
process starts. It does not matter if your cousin went to the police because it is not your cousin's decision whether you will be prosecuted.
Also, a state must have "jurisdiction" in order to prosecute a crime. So, for example, if your cousin makes a report with police in Alabama and you are in Mississippi, the Alabama police cannot take any action against you unless you committed a crime there.
In short, you would have had to commit a crime in the other state and, even if you had, no action will be taken unless there is enough evidence to prove your guilt beyond a reasonable doubt.
I hope that this helps you to understand the law in your situation. Let me know if I may be of further assistance. Thank you.