It's possible. Perfume is based on natural scent oils and these can stick to certain surfaces (including the ducting of the A/C vents). As these oils age or react with bacteria/fungus, they can start smelling bad.
You can have the A/C cleaned and maybe the vents as well. Sometimes the A/C evaporator gets dirty and have fungi growing on it or dirty water accumulates there too. Cleaning should help there too.






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