According to this other question:
The person has to be worthy in Odin's eyes, or be able to break the enchantment that Odin placed on the hammer
So what I'm really asking is, is Dr. Strange a powerful enough magician to break Odin's enchantment?
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No. The magic the Asgardians use varies widely in strength depending on the caster. The pronouncements used by Odin are almost unbreakable by the magical abilities of Loki or Carnilla, two of the greatest sorcerers in Asgard. Both of their powers exceed the Sorcerer Supreme's ability. It can be concluded few, if any, have the magical ability to remove Odin's enchantments backed by the Odinforce.