Yes, but it's not that easy with the cheapo ones.
And I admit there's some appeal to being able to run to the grocery - or even just the store next door - if the fuel runs out.
Eh...guess I'd better think more about it. But it'd be nice to be able to make a buncha chicken to have with salad or sandwiches for lunch for a full work week, and grilled is lightyears beyond any other kind.