I think so. You would want good air flow so smoke doesn't build up in there. Perhaps a fan might help to move smoky air out of the patio area? This unit is easy to move. I use mine just outside the front or back door and bring it back inside after it cools to store it. I guess the best answer to your question is "maybe". Give it a shot and if the patio gets too smoky, just move your cooker outside the door.
Mine is on an open patio. It can get pretty smokey depending on wind direction. I would put it on the patio but move it to the yard when smoking. You can probably move it just a few feet into the yard. It is very portable. BTW my meat thermometer went out after ac couple of uses. Bad design on the cable, I think.
Are you referring to storing it in such a place or cooking in it in that location? Storing, mine is stored on a patio that is completely open except on one side. I put an xl plastic garbage bag over it and then the cover (cover is not waterproof). I store it outside all summer and winter. If you are referring to smoking in that location, I would certainly put it towards the edge of the patio that is closest to open air so that the smoke smell doesn't permeate the house or build up in the patio area. Just my opinion. I do love the smoker, it does a great job and is very easy to operate.
You absolutely can and that would be the best place for it! Protection from the elements yet the necessary airflow to allow it to have proper ventilation. It can be displayed, stored and covered just like a traditional grill.
You're going to get some smoke. My patio is completely open, and I still get some smoke. I would think that in your situation, in still air, you'd get quit a bit of smoke even if you sat it near the open end of your patio. The smoker itself is nice to have. Cleaning is a bear, but other than that, it's good. Good luck