I had a friend that did it. You can't just pick up and do it, You have to apply for a visa first, and then see if you can get a work permit. and then apply for a resident visa. That took about 2 years when she did it.
Another site I found said you must also provide a valid passport, two copies of a detailed list of all personal items brought into the country and two copies of a list of all items on the way, and proof of enough funds to cover expenses for the first six months.
I think she had found a bank that allowed her to have residency in the US or Canada, but it has been a while.
I really don't know about the mortgage side of things.
http://www.cic.gc.ca/english/work/apply-how.asp