The issue is not whether the 16-yo or the parents can bring charges. The issue is whether charges can be successfully brought by anybody.
Or, to put it another way, if I enter premises at the invitation of somebody lawfully there (the 16-yo), knowing that the owner of the property (drachillix) does not want me to enter, do I commit the crime of trespass (assuming this happens in a place where trespass is a crime)?
The answer, of course, depends on how the crime of trespass is defined in the jurisdiction concerned, so if drachillix wants an answer to this question he’ll have to tell us where he lives.
But, in fact, as drachillix’s second post makes clear, there is a broader issue here. drachillix is not so much interested in prosecuting the 16-yo’s partners as in persuading or compelling her to alter her behaviour to take account of the (entirely reasonable) wishes of the people she shares her home with. My very crude sense is that legal measures taken against the partners, even if possible, are unlikely to effect the change in attitude which is needed here.
drachillix, I don’t know your stepdaughter so this is a completely wild guess, but her behaviour suggests to me that, just maybe, what she actually feels the need to do is to rebel against her mother and/or you and that, however reasonable the requests you make of her, right now she will flout them. She needs to transgress, and the more latitude you give her, the more outrageous her behaviour has to be in order to transgress.
I realise that, even if this is a correct analysis of the situation, it’s not a particularly helpful one. You’ve already given her a high degree of freedom, and you can’t really roll that back very easily. I fear that she’ll continue to behave like this until maturity kicks in, which could be a while, or until you or she gets hurt and, to be honest, I don’t quite know what’s the best thing to do about it. I can see why you’re considering legal measures against the partners, but I don’t know if that is really going to help.