You can grant anything from a permanent restraining order to a request for time off, or, if you’re a genie, seven wishes. When you grant something you are letting someone have or do something that they are asking for.
When you grant something, you’re typically fulfilling a request that is not an automatic entitlement. For example, if you order a plate of spaghetti with tomato sauce in a restaurant, when the meal arrives, you wouldn’t say that the chef has been kind enough to grant you the meal; it’s an order that’s been fulfilled. If you ask the chef to make it a vegan dish that doesn’t include chicken stock, however, then you’re making a request that it’s up to the chef to grant — or not.