Ultimately, you can call the police for anything. Whether or not it will do you any good is another story.
There is some difference between someone leaving their trash about and vandalizing something. If the tree/swings/whatever are on your property, then you can certainly make a complaint for trespassing, though the police are limited in what can be done in such matters, and may wind up directing you to file charges on your own.
Perhaps you might call the police and ask for an officer to call you back, and you can explain the situation and ask the officer to explain your rights in that particular situation, as they will vary in different areas. Not all, but most police agencies are only too happy to do so. This would also avoid a police visit to your house, which certainly wouldn't go unnoticed by the neighbors.
The thing that would concern me is that if the child is 'very bad' would calling the police (which I suspect would amount to little more than an officer speaking with him and advising him to stay out of others' property) help matters or hurt them? Would he be likely to be there more often or would the visit from the police be sufficient to keep him away?
I may be wrong, but from prior experience, kids like this rarely care what the police tell them and, if they aren't arrested, will continue to do as they please. Likewise, or possibly the underlying cause, their parents rarely care either. Food for thought.
That said, I wish we could go back to the days when you could go outside and decorate his behind with a well-placed footprint. I do believe that would have much more effect on him. Sigh.