No, because you need it at home.
I had the same question last year and obsessed over it, because that’s what I do! We have a rule in our family that parents must have full access to all grades for the first semester (we pay the bills) and then thereafter if there is a problem, so my husband and I decided to send the Xbox since the boy wouldn’t know anyone on campus. Turned out to be a good decision with a funny outcome. Having the Xbox in the early days allowed him to make friends because there were tournaments and stuff on his floor. Eventually, they all became too busy with school work, extracurricular activities, etc. to use the Xbox. By the time winter break came, he was deeply annoyed not to have it at home because home is much more boring than school and he misses it! I think it was a good ice breaker for this kid and the people around him, but he wasn’t obsessed with it before.
More than worrying about if he should take it, spend your “time” talking (not lecturing) and modeling good time management at work/school, praising and acknowledging the way he manages his time now as a high school student, chatting about the social scene at college and the possibilities that excitedly lie before him,etc. In other words, don’t worry about a “thing”, focus on good habits that he has now and how those will benefit him in his future.
I’ll also say that not bringing the xbox is no fool proof method to him “getting involved”. He can hole up in his room with his computer and disconnect from the world too. You can encourage him to get involved - or show him the merits of doing that - but it’s really his call and his way to find. You literally cannot make it your “wish” or thing to check off the list.
My DS will be entering college next year. He works a few hours at his HS seasonally and spent half his earnings on a Nintendo thingy that would fit in a large pocket. I didn’t let him buy it and will only discuss how he plans to secure it in the dorm, since I’m pretty sure he plans to take it. His school has a lot of gamers but I’m thankful it is not his main interest.
DS did learn a value lesson when he left the thingy in drawstring bag on a bench at the airport and feared it was lost. I’m sure no one picked it up because they thought it was just a sweater in the bag.
Post 20–“I need it at home”
LOL. I actually said this. Son couldn’t take the Wii at first because I had co-opted it at the time.
Yes, sadly, our S is still not great at hanging onto his possessions. On the positive side, he’s gotten great at cancelling credit cards and having new ones sent to him. 
Our D is also good at misplacing and losing things. ARGH!
I would lower the helicopter blades. There’s obviously a wide range of opinions on when someone becomes an adult on here. At one extreme, there’s at least one poster who seems to think at least some kids are ready to get legally emancipated at age 10. On the other, there’s a poster who seems interested in picking out his son’s girlfriend, job, and city to live in after he finishes grad school. Would it stop him from playing video games, or just force him to play them on his laptop instead of the Xbox?
I’m okay with a student having a gaming system. I think most students can self police their game time.
The thing that would concern me as a parent would be if your student was in a very small minority of students with a game system. Are they comfortable telling others that game time is over and they need to leave the room?
I remember my son and his friends lobbied VERY HARD to take an XBox along on their 8th grade trip to Washington DC. I don’t remember if they ended up winning this battle or not (I think not), but am smiling thinking about how hard they argued! 