With the blessing of the current strata manager, you could have a GM before their term expires in order to appoint a new strata manager. There is little point in the current strata manager frustrating you as its a forgone conclusion that they won’t be renewed.
There of course is a notice period for calling a GM. The strata manager can help you on this.
How did you elect a strata committee?. That requires a general meeting. If it’s an informal agreement , then it will need a motion at a general meeting to elect the committee.