yes, absolutely. it will actually help her show them her intentions of doing things the proper way. i would even suggest paying a portion of the fees, and having her do the medical exam (it's cheaper in Canada btw). I did that all the time prior to submitting. The 2 things to be careful about is that the FBI record is only valid for 3 months, so it's important to time receiving it with when you plan to send in your application. Also, CIC regularly updates the forms, so before you send, you want to make sure they haven't been updated. It's also super important she travels with ties to the US, a lease/mortage and/or work contract/paystubs. They are going to want to see she has something to go back to, and it's SUPER important she always using the term "visiting". NOT living or moving, as she will not have permission to do so until she is approved for PR. They may pull her into secondary since she's spent more time in CAnada than the US recently. Also, was she there with extensions previously? How did she maintain legal status all that time? Remember, how long she is allowed back in will be up to the border agent she encounters. Definitely keep us updated on how it goes!