The criminal statute of limitations on a simple assault would be one year from the incident in Arizona. It is not unusual in this type of an offense that when one person gets a protective order in civil court
, the other attempts to get one in criminal. So yes, she can try, and yes, you can try.
But the problem with getting criminal charges filed is the same, right now for both of you. At the time of the incident and with the police on the scene, you both did not want to go forward. Now, with no new incident on her part or yours, if she goes to try to get charges pressed she wouldn't be very credible to the police -- or you either, for that matter. It may just look to them vindictive and retaliatory and they can refuse to help her (or you) unless some new incident takes place.
If you were never arrested and never charged with a crime, there would be nothing of this incident right now on your criminal history. An incident report was probably made out, and it would be in some file cabinet somewhere and an internal record of the police department. As it involved you and no charges are going to be forthcoming you should be able to go to the police and obtain a copy of this for your records. Had you been arrested the police report
would get turned over to your lawyer as part of the discovery process in your case.