+1(514) 937-9445 or Toll-free (Canada & US) +1 (888) 947-9445
Yes - you can apply for PR. Make sure you declare the two study permit refusals in your application.
 
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What’s the process like and How long does the process takes?

Canada has a number of different immigration program. If you are serious about immigrating, you are going to have to dedicate a few weeks to researching them to understand what's involved. Suggest you start with the Express Entry program. Processing times are anywhere from six months to several years. Details below.

https://www.canada.ca/en/immigration-refugees-citizenship/services/immigrate-canada.html