Without at least 1 year experience, you would not be able to apply under category 1 as a licensed practical nurse. However, if you have at least a 1 year experience in another skilled profession and you have a job offer in Canada and you have 67 or more points on the self assessment, you could apply under category 2.
You can not apply in the US unless you were admitted on a 1 year visa. If you came as a visitor and overstayed, you would have to apply through your country of nationality.