No. When you purchase a DLC for a game or a game it self that you bought via Xbox Live from your corresponding Xbox Live account, you are the only one have access to it, and no one can even it is on your hard drive, whether it be Xbox 360 or Xbox One it cannot be used by another Xbox Live subscriber. On the other hand, if there is family sharing feature enabled, it may work, yet I do not know how family sharing actually works, really.
when you buy something the license/rights is on your gamertag and on the first console it was downloaded to.
example I buy bacon gun skin on my xbox with my gamertag
my brother can use the bacon gun skin on my xbox with his gamertag.
...Avatar clothes are the only things that are exclusive to one gamertag