The answer is "probably" no, but I'm sure you could find ways around it.
Any company found placing the incorrect codes on your ROE can get in huge shit for it, i.e. you cannot request a layoff to collect EI while you go back to school.
Also, when the HRSDC follows up to find out what the deal is, if your company rep spills the beans "oh, she asked to be let go - there were no problems with her performance, she just wanted to go back to school" then you're double fucked.
"You are taking a course on your own initiative
Taking a course or training program on your own initiative, without being directed to do so by a designated authority, does not automatically result in the loss of regular benefits. Although participation in a course is commendable, you must show that you are available to work while you are attending school. It is essential that you continue to look for work and that taking a course does not prevent you from being available to work or from accepting any appropriate offer of employment during normal working hours. You need to be ready to make all the necessary arrangements to hold a job or even drop the course if necessary.
You need to notify us if you are taking a course or training program
You must declare your participation in a course or a training program when you present your claim for benefits or when you are completing your report by Internet or by telephone. If you are taking a full-time course or training program without having been directed to do so, you must complete the “Training course information” questionnaire. It is important to return it as soon as possible, in order to avoid needless delays in the payment of your benefits and also to ensure that you are not receiving benefits to which you are not entitled.
When the questionnaire is received, it will be given to an agent for a decision. If you are not entitled to benefits, you will be notified by telephone or by letter.
If you report you are taking a part-time course or training program, you must give us the following details:
Do you normally work daytime hours on a Monday to Friday basis, in your usual occupation?
Are all of your courses below the university level?
Would you leave this course if it conflicted with a full-time job?
Are all your courses held in the evening, after 6:00 p.m. or on weekends?
Is the total number of hours of attendance equal to or less than 10 hours per week?
What are the names of the courses and training institutions?
What are the course start and end dates?"
However you should do some research - google HRSDC.