Legal Question in Juvenile Dependency in California

It depends on what was said during this argument and how heated it got.

If you said anything that could have been construed as a criminal threat - something that conveyed the threat of an immediate infliction of bodily harm or death with the intent that the listener treat it as a real threat - then yes, you can be arrested, charged and prosecuted.

Ordinarily, verbal arguments that don't include such threats or any physical confrontation are not something that would get you arrested. Without knowing all the details, that is a general overview. If you were arrested or are under investigation as a result of this argument, seek a consultation with a criminal defense attorney in your area.