Others can comment as well and I am no legal expert but just remember US and Canada share a lot of background information plus if you need a police certificate, in the case of the US from the FBI, then I would guess that any outstanding felonies may well show up and depending on the equivalent charge in Canada could make you inadmissable.
Just because you are not there probably does not mean that anything outstanding will not show up but this is only my view so suggest you engange a professional immigration lawyer. Note whatever you do you should not try to hide anything in any immigration application given if found out you would get at least a 5 year ban from the country,