You can absolutely plea not guilty to this offense. In fact most people do plea this way until at the very least a prosecutor gives a plea deal. There are a lot of possibilities in terms of what you can have done with this. Keep in mind however that going to trial on these can be expensive.
Yes. You can always plead not-guilty and demand a trial. Depending on how factually correct your rendition of the events is, there are many possible constitutional rights issues with this situation. You should plead not-guilty and seek the advice of a local criminal defense attorney. Good luck.