Yes I can.....here is the proof for the priority processing
http://www.immigration-quebec.gouv.qc.ca/en/immigrate-settle/permanent-workers/official-immigration-application/selection-process/
please read this completely.....It is copy pasted from the above link
Reception of application
The Ministère checks if you can file an application for a Certificat de sélection du Québec (CSQ – Québec Selection Certificate) in accordance with the rules in effect, if all the required documents are included in your application and if it is eligible for priority processing. Your application is eligible for priority processing if:
you or your spouse, if applicable, have received a job offer from a Québec employer, and it meets the MICC's validation conditions. Ask your future employer to consult the section Steps taken by the employer for hiring a permanent foreign worker;
or
you or your spouse, if applicable, hold a diploma, awarded by a teaching institution, in an area of training allowing you to get 12 or 16 points under the area of training criterion of the selection grid for skilled workers (see Liste des domaines de formation permettant d'obtenir 12 ou 16 points à la grille de sélection (PDF, 34 Kb)). The number of years of study required to obtain your diploma must be at least equal to the number of years required to obtain that diploma in Québec. Your diploma must have been awarded in the last five years. Failing that, you must have practised, on a full time basis and for at least one year in the last five years, a profession or trade directly related to that diploma. for at least one year in the last five years.
An acknowledgment of receipt is sent to you to confirm reception of a complete application and, if applicable, to indicate that your application will be prioritized for processing. Your file will be returned to you if your application cannot be considered.
Hope u understand...
. better apply without consultants. unless your consultant is Cohen. 
