Not really. When application is submitted, the BG check initial status is "Not Started" and then it moves to "Not needed at this time" and then to "In Progress". If it went to "In Progress", it should not go back to the same original status. If BG Check is passed, it will state that.
This is what is the information I get when I click help icon in the MyCIC account for BG:
Help - Review of background information
We need to verify criminal, security and/or other background information to ensure admissibility to Canada.
Review of background information may be Not started, Not needed at this time, In progress or Complete
Not needed at this time means we have not yet received an application for permanent residence. You need an invitation to apply before you can submit an application for permanent residence.
Not started means that we have not begun the review of background information.
In progress means that we have begun the review of background information.
If we require a document from you to complete this review, please upload it in your document checklist so we can continue to process your application.
Complete means that we have completed the review of background information.