Many people accused of a crime are concerned about the judgment of their lawyers and even if a lawyer may refuse to defend them. The short answer is yes, a lawyer can absolutely refuse to defend someone. Attorneys may refuse to take your case for a number of reasons. Perhaps the most important reason lawyers reject cases is because clients come to them with a situation that is outside of their practice areas.
Under California law, anyone detained must be prosecuted within 48 hours of arrest (not including weekends and holidays). You should also note that the length of time from your arrest to your appearance varies depending on the time of day of your arrest. An experienced criminal defense attorney can help you determine whether or not this 48-hour rule has been upheld in your case. Another factor that may lead a lawyer to reject your case is the low level of damages, injuries, or losses you may have suffered.