Yes. But in this case, the OP has POF in one bank and the card in another. CIC isn't looking for full financial disclosure on the applicant's part. If that were the case, it will be a tragedy for most applicants because banks would gladly showcase the applicant's loan portfolio while the applicant's asset portfolio (real estate, property, vehicles, jewelry, equity) are all excluded from POF. So it will always end up being a net negative situation.
CIC is really keen on knowing all that because they want to ensure that your POF is unencumbered. If 6 months of average balance helps them understand that (by showing no unreasonably large credits) then that will suffice. If you've received a gift from someone and you send in that self-declaration from the donor, that will suffice.
Hope that clarifies.