You definitely can, but I would wait until I had the PR Card in my hands.
When your Permanent Resident (PR) application is approved, you are given a document called Confirmation of Permanent Residence (CoPR). This document includes the "City of Destination" where you said you intend to live after activating your PR status.
Note that you have not signed any commitment to reside in any province. You only declared the city of destination that is printed on your CoPR.
Permanent residents have almost all the rights that a Canadian citizen enjoys. One these, in Section 6 of the Canadian Charter of Rights and Freedoms, is what is called the "mobility rights". These stipulate that "Every citizen of Canada and every person who has the status of a permanent resident of Canada has the right: (i) to move to and take up residence in any province, and (ii) to pursue the gaining of a livelihood in any province.