It's worth asking. The following is a good link.
http://www.forces.ca/v3/engraph/reso...en.aspx?bhcp=1
Despite the Permanent Resident status requirement that was specified, I did see somewhere else where others would be accepted "in exceptional circumstances".
I recommend you consider this. We're doing quite well in getting new equipment. In a few years we'll get rid of our Sea Kings and our oldest helicopter fleet (Bell 412) will be about 15 years old. The rest will be nearly new EH101s, new S92's and new Chinooks. The espirit is very high, people very focused on missions overseas, and standard of living is quite good.
Good luck.