Can a cohabitation deputy break up and marry someone else after applying for immigration?

First of all, of course you can get married.

Secondly, if you keep PR, you can also guarantee that your future husband will go to Canada.

But it should be pointed out that your identity is obtained by being guaranteed (cohabitation status). So when you vouch for your future husband, there are certain risks, and you need to provide more materials to prove the authenticity of your marriage.

Detailed, it is recommended to consult professional institutions.