If my WP location is different, can I apply for a SIN?

You cannot work at a location different from what's indicated on your work permit. You need to apply for a new work permit.

When you get your new work permit, you can renew your SIN. You can give your employer proof that you’ve applied to renew your SIN. Once you get a new expiry date for your SIN, you must give it to your employer within 3 days.