Can someone get charge with robbery if one never occurred?

Your question requires an attorney consultation. It is not a simple question that can be answered on this type of forum. There are many factors that would need to be considered and evaluated. Theoretically, a person can be charged with virtually anything. Whether or not there is enough evidence to convict him is another story. Why was he pulled over? Why didn't he have a license? Did he give permission to the police to search his vehicle? What kind f tools were found in his car? Since we do not have all the facts, it is impossible to give a meaningful answers. I strongly suggest that you or your fiance contact an experienced criminal defense attorney for a face-to-face consultation and give him/her all of the facts surrounding your fiance arrest. (S)he would then be in a better position to analyze his situation and advise him of his options.

Could be charged with possession of burglary tools. See if he meets description of open robberies.

Yes, because possession of burglary tools is a crime. He should hire a lawyer to challenge the legality of the stop.