is destiny in the same time line as the halo universe, because if you look at the story line we know so far, then it seems like it is possible.
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Halo is the property of Microsoft, Bungie is no longer affiliated with Microsoft and has nothing to do with Halo games. Putting it in the same universe would be making a Halo game. Also Bungie has said, and it was in the leaked Activison contract, that it is a new IP. It's a new intellectual property or a new idea. These are the reasons its is very likely not in the Halo universe.