Not that I'm aware. A couple of forest fires started near my base because of them, but oddly enough neither spread: Instead, many hours later (as I was trying to convert a massive pile of leaf blocks to saplings by pillaring up on them and digging down) I spotted the fires and went to put them out.
They hadn't spread very far over all the time they must've been there (hadn't even consumed a full tree) but had instead gone into "infinite fire" mode.