If you have an order to leave Canada (this is called a removal order), you may be able to apply to stay in Canada on H&C grounds unless there are other restrictions against you.
If you apply, this will not prevent or delay your removal from Canada you must leave on or before the date stated on your removal order. Your application will still be processed even if you have to leave Canada. Citizenship and Immigration Canada will notify you in writing about the decision on your case.
Note, do not forget that only you are responsible for keeping your application up-to-date. If your circumstances change and this may affect your application, it is your responsibility to inform Citizenship and Immigration Canada of the change. This is so the person making a decision on your matter will have all the information that you want to be considered for your application.
This can be hard if you are outside of Canada. Let us be your voice.