Canadian PR

Conclusion

The only way I can apply for PR through PNP at the moment is to wait till complete PhD and then apply through "International Post Graduate"
http://www.welcomebc.ca/Immigrate/About-the-BC-PNP/Skills-Immigration/International-Post-Graduates.aspx

Tested to see if I'm eligible

On the CIC website, there is a questionnaire you can do to determine whether you are eligible for FSW program. Unfortunately the result indicated that I am not eligible:

This is kind of expected as during the questionnaire, there were questions that I could not say "Yes" where Yes seems to be required. 

For example:

• Although part-time work experience can be counted, it will not be counted if you work part-time during your full-time study based on this:

• Also, I need to complete at least 2 years of PhD to promote myself as a potential PhD holder according to this:

And finally, the list below gives how much $$$ you need to show. Note that you do not need to show it if you have a valid offer of arranged payment (funding, employment, etc.):