No. Emergency alerts are issued only if there is an imminent threat to life or property so that you can take action to keep yourself and your family safe. For that reason, they are considered critically important for everyone located in the target area.
The CRTC therefore requires wireless service providers to distribute alerts to all compatible wireless devices connected to an LTE network in the area covered by the alert.
However, depending on your device, you may be able to choose how your phone alerts you.
Read about our testing of mobile phone response to emergency alerts