According to the Gospel as told by
CFA0 11-12 OCCUPATION TRANSFER OF NON-COMMISSIONED MEMBERS - REGULAR FORCE *DWAN link*: I've put the text from the CFAO in yellow.
TYPES OF OCCUPATION TRANSFERS
3. OTs are categorized as: Compulsory, Voluntary, MOC Reassignments and Career Progression Occupation Transfers.
Because you are QL3 qualified, you can't request a MOC Reassignment.
6. MOC Reassignment. This category refers to OT of Privates Basic (Pte(B)) who have not yet attained QL3.
That leaves Voluntary OT.
5. Voluntary. This category refers to OT applied for by members under the:
a. Annual Voluntary Occupation Transfer Program (see Annex A);
b. Continuing Occupation Transfer Program (see Annex B); or
c. Land Occupation Transfer Program (LOTP) described at Annex C.
ATIS Tech isn't part of the COTP, so that is out. You aren't Combat Arms, so LOTP is out. That leaves AVOTP as your only option.
Info that applies for eligibility for AVOTP is found in Para 15 and Annex A, info below:
VOLUNTARY OT -GENERAL
15. Members applying for transfer under any of the voluntary OT programs must meet the following prerequisites:
a. minimum time prerequisites applicable to the OT program being considered, excluding LWOP (Leave Without Pay) granted on enrolment;
b. MOC selection standards, detailed in the Canadian Forces Manual of NCM Occupation Structure (A-PD-123);
c. language aptitude and proficiency standards;
d. MOC medical standards specified in A-MD-154-000/FP-000;
e. QL 4 qualification.
f. Only Ptes and Cpls and those MCpls and above who are prepared to relinquish their appointment or rank may apply for voluntary OT.
ANNEX A -- ANNUAL VOLUNTARY OCCUPATION TRANSFER PROGRAM
1. This program consists of a number of MOCs open for voluntary OT on a yearly basis and for a limited period of time. Eligible members may apply for up to two MOCs using the form at Annex D.
2. In addition to the general provisions described in paragraph 15 of this order, applicants must have a minimum of 48 months continuous service by 31 December of the year in which application is made.
3. The program is announced in February and a member may submit an application between the date the program is announced and 31 August of each year. Applications must reach NDHQ/DPCOR by 30 September. Applications of eligible members are reviewed by a NDHQ selection board in January. Under normal circumstances, successful candidates will commence MOC training in the calendar year following the year in which the Board's decision is rendered. Members not selected by the board must resubmit their applications if they wish to be reconsidered.
So, there is it. You'll need your QL4 qual (if you are in a trade that doesn't have a QL4 qual, then they use QL3 as the minimum QL level) and 48 months continuous service *before* you can apply.
Now, having typed all that out, there is nothing stopping you from requesting to talk to your FPSO shop to see if they have any other info that might provide you a "loophole" but, from my read and experience, you'll be where you are until you meet the CFAO requirements for an OT.