The short answer is yes. However, this can be very risky if you don’t hire a new lawyer first. Courts generally do not like for defendants to fire their attorneys during the course of trial, and may not allow a defendant to fire their attorneys.
The other option is to hire an attorney before you fire the court-appointed lawyer. At that point, the new lawyer can file a motion to substitute counsel. So long as everything is done properly, the court is much more likely to allow the change of counsel.
If you feel like you need a new attorney, you can call the Law Offices of Wiley Nickel, PLLC. You can either call the law office directly at 1 (919) 585-1486, or contact Kristi Nickel and Wiley Nickel, at email@example.com or firstname.lastname@example.org, respectively.