No, swój means that the possessor is the same as the subject of the sentence, but here there is no subject so it’s not possible to use it.
I'm not sure I understand, isn't there an implied subject here? Could you give this sentence so swoje would be appropriate?
Swoje doesn't make much sense here. If you want to use it you must have a subject, for example "He loves his daughters" = "On kocha swoje córki".