There's no place on premises that you can set up a grill, no.
No!
Not to answer a question with a question but I am so curious to ask the inquirer, have you been to any hotel of this class and was allowed to bring your grill with you? This is not a motel. I believe that their insurance policies would not even allow any sort of picnic/jamboree on their premises. They have about three restaurants on this premises that serve burgers and dogs so I would avoid bringing grill to this high end hotel.
That is an unusual request. I recommend contacting the front desk. The Sheraton is a high end hotel...probably a 4 star or 5 star hotel.
I did not see any space where it would make sense to bring and setup a grill. The location is near the harbor across from the convention center. Down the street from the baseball stadium. Maybe there is a park near the stadium.
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