Schengen and Canada - Order of obtaining Visas

I am from India and I am going to start my undergrad degree in Canada this fall. Before going to Canada, I plan to stop in Paris for 4 days and then continue with my trip to Canada.

My question here is can I apply for the Schengen Visa while my application for the Study permit is in process? Because the study permit application can take some time and might not leave me with enough time to apply for the Schengen Visa.

My confirmed flight bookings are as follows: Delhi - Paris - Toronto - Stay in Canada for 3 months - Delhi. After that I'll going to and fro between India and Canada but I have no tickets for that as the dates depend on the uni's academic calendar.

Edit: I would like to add a few points and make my situation more clear:

My application for the student permit in Canada has already been submitted and I have an automated letter from Canada stating the same.
From my comment: I'll be a tourist in France and a Student in Canada. I don't have a study permit yet but I do have an enrollment letter from my University which states that I have enrolled in the university; the start dates of the program; and have made a tuition fee payment in the upwards of $40,000 and a Bank Account in my name which from which I can withdraw funds only after I'm in Canada (Guaranteed Investment Certificate)
The only reason I am asking this is because the Schengen Visa application asks for the Entry permit to the final country of destination (if applicable). I have a confirmed ticket from Canada to India in december so shouldn't that make India my final country of destination? Thanks

UPDATE: So, I finally decided to apply for the schengen visa. I applied for the visa on 26th June and got an approval the very next day. Thanks for helping :)

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Should my first trip be to the country which issued my Schengen visa?

There is no general requirement that you must enter the Schengen Area through the country that issued your visa. Your main destination may be different than your first destination. To prevent complications, stick to your itinerary as best you can.

Do I need Schengen visa if I have Canadian visa?

Entry/exit requirementsCanadians do not need a visa to travel to countries within the Schengen area for stays of up to 90 days in any 180-day period. If you leave the Schengen area and return within the same 180-day period, the previous stay will count against the permitted 90 days.

How long does Schengen visa take Canada?

Schengen Visa application and processing time in Canada Since visa applications that are admitted usually take about 15 days to process, you should consider applying at least 15 days before your intended visit to Europe.

Which Schengen country has highest visa approval rate?

Finland. The Northern European country of Finland, despite the high number of visa applications it receives annually, remains an easy Schengen country to get a visa from. Rejecting only 1.7% of the applications its consulates abroad received, you have high chances to get a Schengen Visa to Finland.

THE SCHENGEN ZONE TRAVEL EXPLAINED - DIGITAL NOMAD TV

Sources: Stack Exchange - This article follows the attribution requirements of Stack Exchange and is licensed under CC BY-SA 3.0.

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