Can I be discharged from the Navy with an allegation of huffing?

I'm in the navy, and i was sent to the hospital and arrested on allegations of huffing, the police informed me that there was a witness who wrote a statement saying she saw this occur and they found a can in the public bathroom trashcan. I've continued to deny this, was 100% cooperative with the police and complied with a urinalysis to prove my innocence which came back negative, i also gave them full permission to search through my belongings in which they found nothing. The navy has a zero tolerance rule against drug use which results in a discharge, is this enough evidence to get me discharged? Finding a can in the public trashcan which is shared by over 50 females and a negative urinalysis. Is a persons statement alone enought to convict me and I get discharged?