1- Can I come to Canada with my visitor visa and apply for study permit from within Canada?
I'd say unlikely.
Here are conditions to apply for study permit in Canada (
http://www.cic.gc.ca/english/helpcentre/answer.asp?qnum=483&top=15)
How to get a study permit
If you belong to one of the following groups, you need to apply to
extend your stay in Canada as a student:
- minor children studying at the primary or secondary level
- exchange or visiting students
- students who have completed a short-term course or program of study, which is a condition for acceptance at a designated institution
- holders of temporary resident permits (TRP) valid for a minimum of six months and their family members
- foreign nationals who cannot be removed from Canada for reasons beyond their control
- spouses or common-law partners (and their family members) who are in Canada and who have applied for permanent residency if they have been deemed eligible to apply (first stage approval)
- person whose study permit was authorized by a visa office abroad where the permit was not issued at a port of entry
- family members of athletes on a Canadian-based team, media representatives, members of the clergy or military personnel assigned to Canada
- family members or a private staff member of a foreign representative who is properly accredited, may apply within Canada 90 days before or after they are no longer authorized to study without a study permit
- foreign nationals and their family members holding a valid study or work permit
2- If I apply for study permit before I come to Canada, do I have to give biometrics again? I did my biometrics less than a year ago in Turkey.
Unsure about this, your Visa Application Center likely knows. Bring photos just in case.
3- If I apply for study permit before I come to Canada, can I go to Canada with visitor visa while waiting for my study permit to be issued?
Yes