No. Your position in the command list will be anchored on the date you formally enter the command process which depending on sufficient experience will be at or after approximately six months in the company, having completed recurrent training. At that point the only thing which will expedite your command is if you are more flexible than others in command basing ie if other candidates ahead of you are bidding for a specific base or country and you are prepared to take a command wherever it is offered. Regional bases have shorter but typically slower moving command lists than larger bases.
Dave, I interviewed last year and was quoted 2-3 years for smaller bases like STN and NCL.
That would be for right seat, expect a good deal longer for left seat from date of joining.