Speak to your attorney. You have a right to trial within 60 days if you are charged with a felony and 30 days if charged with a misdemeanor. Moving it up would require noticing the court and the District Attorney on your plans to move the date up.
Maybe moving it up is not in your best interest. That is why you should speak to your attorney.
The above information does not establish an attorney client relationship nor is it meant to provide legal advice.